Yasuhiro Fujita

Research output

Research output per year 1985 1990 1993 2003 2006 2020 2023

• 43 Article
• 1 Chapter
• 1 Presentation
• 1 Comment/debate

Research output per year

Research output per year

Search results

• 2023

  Hamilton–Jacobi flows with nowhere differentiable initial data

  Fujita, Y., Siconolfi, A. & Yamaguchi, N., 2023/04, In: Mathematische Annalen. 385, 3-4, p. 1061-1084 24 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Nowhere Differentiable 100%
  • Nowhere Differentiable Function 100%
  • Regularizing Effect 100%
  • Inverse Problem 100%
  • Hamilton-Jacobi 100%
  1 Scopus citations
• 2022

  A Self-Affine Property of Evolutional Type Appearing in a Hamilton-Jacobi Flow Starting from the Takagi Function

  Fujita, Y., Hamamuki, N. & Yamaguchi, N., 2022/03, In: Michigan Mathematical Journal. 71, 1, p. 105-120 16 p.

  Research output: Contribution to journal › Article › peer-review

  • Parabola 100%
  • Main Result 100%
  • Quadratic Function 100%
  • Optimal Time 100%
  • Time Difference 100%
  1 Scopus citations

• The best constant for an inequality related to the Mathieu series

  Fujita, Y. & Azuma, H., 2022, In: Toyama Mathematical Journal. 43, p. 77-90

  Research output: Contribution to journal › Article › peer-review
• 2020

  A class of nowhere differentiable functions satisfying some concavity-type estimate

  Fujita, Y., Hamamuki, N., Siconolfi, A. & Yamaguchi, N., 2020/04/01, In: Acta Mathematica Hungarica. 160, 2, p. 343-359 17 p.

  Research output: Contribution to journal › Article › peer-review

  • Nowhere Differentiable 100%
  • Nowhere Differentiable Function 100%
  • Central Difference 100%
  • Concavity 100%
  • Differentiable Function 100%
  5 Scopus citations

• All the generalized characteristics for the solution to a Hamilton–Jacobi equation with the initial data of the Takagi function

  Fujita, Y., Hamamuki, N. & Yamaguchi, N., 2020/12, In: Partial Differential Equations and Applications. 1, 6, 38.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Hamilton-Jacobi Equation 100%
  • Takagi Function 100%
  • Generalized Characteristics 100%
  • Initial Datum 100%
  • Nowhere Differentiable 33%
  1 Scopus citations

• New Sharp Gagliardo-Nirenberg-Sobolev Inequalities and an Improved Borell-Brascamp-Lieb Inequality

  Bolley, F., Cordero-Erausquin, D., Fujita, Y., Gentil, I. & Guillin, A., 2020/05/18, In: International Mathematics Research Notices. 2020, 10, p. 3042-3083 42 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Brascamp-Lieb Inequality 100%
  • Gagliardo-Nirenberg Inequality 100%
  • Sobolev Inequality 100%
  • Sobolev Type Inequalities 50%
  • Half-space 50%
  4 Scopus citations
• 2018

  Lower estimates of L^∞-norm of gradients for Cauchy problems

  Fujita, Y., 2018/02/15, In: Journal of Mathematical Analysis and Applications. 458, 2, p. 910-924 15 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Cauchy Problem 100%
  • Lower Estimate 100%
  • L-norm 100%
  • Optimality 50%
  • Parabolic Equation 50%
  4 Scopus citations
• 2017

  On the sets of maximum points for generalized Takagi functions

  Fujita, Y. & Saito, Y., 2017, In: Toyama Mathematical Journal. 39, p. 87-94

  Research output: Contribution to journal › Article › peer-review
• 2015

  Supplementary proof of L^p--logarithmic Sobolev inequality

  Fujita, Y., 2015, In: Annales de la Faculté des Sciences de l'Univerité de Toulouse. 24, p. 119-132

  Research output: Contribution to journal › Article › peer-review
• 2013

  Lipschitz constants and logarithmic Sobolev inequality

  Fujita, Y., 2013/12/15, In: Journal of Mathematical Analysis and Applications. 408, 2, p. 705-712 8 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Lipschitz Constant 100%
  • Logarithmic Sobolev Inequality 100%
  • Logarithmic Sobolev Inequalities 100%
  • Asymptotic Behavior 33%
  • Strict Inequalities 33%
  1 Scopus citations
• 2012

  Uniqueness sets for minimization formulas

  Fujita, Y. & Ishii, H., 2012/05, In: Differential and Integral Equations. 25, 5-6, p. 579-588 10 p.

  Research output: Contribution to journal › Article › peer-review

  • Necessary and Sufficient Condition 100%
  • Optimal Control Theory 100%
  • Hamilton-Jacobi Equation 100%
  • Set of Uniqueness 100%
  • Optimal Control 25%
• 2011

  An optimal logarithmic Sobolev inequality with Lipschitz constants

  Fujita, Y., 2011/09/01, In: Journal of Functional Analysis. 261, 5, p. 1133-1144 12 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Lipschitz Constant 100%
  • Logarithmic Sobolev Inequality 100%
  • Logarithmic Sobolev Inequalities 100%
  • Heat Equation 66%
  • Regularizing Effect 33%
  10 Scopus citations
• 2009

  Inequalities and the Aubry-Mather theory of Hamilton-Jacobi equations

  Fujita, Y. & Ohmori, K., 2009/03, In: Communications on Pure and Applied Analysis. 8, 2, p. 683-688 6 p.

  Research output: Contribution to journal › Article › peer-review

  • Aubry-Mather Theory 100%
  • Hamilton-Jacobi Equation 100%
  • Hilbert-type Inequality 50%
  • Means Inequalities 50%
  • Hlder's Inequality 50%

• Long-time behavior of solutions to Hamilton-Jacobi equations with quadratic gradient term

  Fujita, Y. & Loreti, P., 2009/12, In: Nonlinear Differential Equations and Applications. 16, 6, p. 771-791 21 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Hamilton-Jacobi Equation 100%
  • Long-time Behavior of Solutions 100%
  • Quadratic Gradient Term 100%
  • Convergence Rate 66%
  • Cauchy Problem 66%
  5 Scopus citations
• 2007

  Asymptotic solutions with slow convergence rate of Hamilton-Jacobi equations in Euclidean n space

  Fujita, Y. & Uchiyama, K., 2007, In: Differential and Integral Equations. 20, p. 1185-1200

  Research output: Contribution to journal › Article › peer-review
• 2006

  Asymptotic solutions of Hamilton-Jacobi equations in Euclidean n space

  Fujita, Y., Ishii, H. & Loreti, P., 2006, In: Indiana University Mathematics Journal. 55, 5, p. 1671-1700 30 p.

  Research output: Contribution to journal › Article › peer-review

  • Hamilton-Jacobi Equation 100%
  • Asymptotic Solution 100%
  • Viscosity Solutions 100%
  • Viscosity Solution 100%
  • Asymptotics 100%
  30 Scopus citations

• Asymptotic solutions of viscous hamilton- jacobi equations with ornstein-uhlenbeck operator

  Fujita, Y., Ishii, H. & Loreti, P., 2006/06, In: Communications in Partial Differential Equations. 31, 6, p. 827-848 22 p.

  Research output: Contribution to journal › Article › peer-review

  • Asymptotic Solution 100%
  • Ornstein-Uhlenbeck Operator 100%
  • Viscous Hamilton-Jacobi Equation 100%
  • Hamilton-Jacobi Equation 100%
  • Asymptotics 100%
  26 Scopus citations

• On a critical role of Ornstein-Uhlenbeck operators in the Poincare' inequality

  Fujita, Y., 2006, In: Differential and Integral Equations. 19, p. 1321-1332

  Research output: Contribution to journal › Article › peer-review

• On basin of zero-solutions to a semilinear parabolic equation with Ornstein-Uhlenbeck operator

  Fujita, Y., 2006/05, In: Journal of Inequalities and Applications. 2006, 52498.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Semilinear Parabolic Equations 100%
  • Zero Solution 100%
  • Ornstein-Uhlenbeck Operator 100%
  • Semilinear 100%
  • Parabolic Equation 100%
• 2005

  A refinement of the Poincaré inequality for Kolmogorov operators on ℝ^d

  Fujita, Y., 2005/02/01, In: Journal of Inequalities and Applications. 2005, 1, p. 25-31 7 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Kolmogorov Operators 100%
  • Poincaré Inequality 100%
  • Semigroup 100%
  • Regularity Results 50%

• Hessian estimates for viscous Hamilton-Jacobi equations with Ornstein-Uhlenbeck operator

  Fujita, Y., 2005, In: Differential and Integral Equations. 18, p. 1383-1396

  Research output: Contribution to journal › Article › peer-review
• 2003

  A comparison theorem for Bellman equations of ergodic control

  Fujita, Y. & Ohmori, K., 2003, In: Differential and Integral Equations. 16, p. 641–651

  Research output: Contribution to journal › Article › peer-review

• A Linear PDE Approach to the Bellman Equation of Ergodic Control with Periodic Structure

  Fujita, Y., 2003/03, In: Applied Mathematics and Optimization. 47, 2, p. 143-149 7 p.

  Research output: Contribution to journal › Article › peer-review

  • Bellman Equation 100%
  • Ergodic Control 100%
  • Periodic Structures 100%
  • Linear PDE 100%
  • PDE Approach 100%

• An existence result for nonlinear elliptic equations on Rd without sign condition

  Fujita, Y., 2003, In: Differential and Integral Equations. 16, p. 969–979

  Research output: Contribution to journal › Article › peer-review

• An extension of Landau's inequality by nonnegative operator monotone functions

  Fujita, Y., 2003, In: Archives of Inequalities and Applications. 1, p. 433–439

  Research output: Contribution to journal › Article › peer-review

• Convergence analysis of the interface for interfacial transport phenomena

  Ohmori, K., Fujima, S. & Fujita, Y., 2003, In: Toyama Mathematical Journal. 26, p. 109–129

  Research output: Contribution to journal › Article › peer-review
• 2001

  An Auxiliary Equation for the Bellman Equation in a One-Dimensional Ergodic Control

  Fujita, Y., 2001/03, In: Applied Mathematics and Optimization. 43, 2, p. 169-186 18 p.

  Research output: Contribution to journal › Article › peer-review

  • Bellman Equation 100%
  • Ergodic Control 100%
  • Auxiliary Equation 100%
  • Optimal Control 25%
  • Markov Controls 25%
  1 Scopus citations
• 2000

  A simple proof of the theorem concerning optimality in a one-dimensional ergodic control problem

  Fujita, Y., 2000, In: Applied Mathematics and Optimization. 41, 1, p. 1-7 7 p.

  Research output: Contribution to journal › Article › peer-review

  • Simple Proof 100%
  • Ergodic Control Problem 100%
  • Optimality 100%
  • Control Problems 100%
  • Bellman Equation 50%

• Ergodic control in stochastic manufacturing systems with constant demand

  Morimoto, H. & Fujita, Y., 2000/03/15, In: Journal of Mathematical Analysis and Applications. 243, 2, p. 228-248 21 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Stochastic Production Systems 100%
  • Constant Demand 100%
  • Ergodic Control 100%
  • Stochastics 100%
  • Minimum Value 50%
  4 Scopus citations
• 1999

  On Bellman equations in quadratic ergodic control with controller constraints

  Fujita, Y. & Morimoto, H., 1999, In: Applied Mathematics and Optimization. 39, 1, p. 1-15 15 p.

  Research output: Contribution to journal › Article › peer-review

  • Bellman Equation 100%
  • Ergodic Control 100%
  • Controller Constraints 100%
  • Optimal Control 50%
  • Ergodic Control Problem 50%
  5 Scopus citations
• 1994

  Holomorphic resolvent for integrodifferential equation with completely positive measure

  Fujita, Y., 1994/09, In: Mathematische Annalen. 300, 1, p. 29-40 12 p.

  Research output: Contribution to journal › Article › peer-review
  2 Scopus citations
• 1993

  A generalization of the results of Pillai

  Fujita, Y., 1993/06, In: Annals of the Institute of Statistical Mathematics. 45, 2, p. 361-365 5 p.

  Research output: Contribution to journal › Article › peer-review

  • Infinitely Divisible 100%
  • Statistics 100%
  • Leffler Function 100%
  • Stable Distribution 100%
  • Infinitely divisible distribution 100%
  9 Scopus citations

• A sufficient condition for the Carasso-Kato theorem

  Fujita, Y., 1993/09, In: Mathematische Annalen. 297, 1, p. 335-341 7 p.

  Research output: Contribution to journal › Article › peer-review
  6 Scopus citations

• Energy and regularity inequalities for Volterra equations of parabolic type

  Fujita, Y. & Da Prato, G., 1993/09, In: Differential and Integral Equations. 6, 5, p. 1033-1040 8 p.

  Research output: Contribution to journal › Article › peer-review

  • Parabolic Type Equations 100%
  • Volterra Equation 100%
  • Parabolic Type 100%
  • Energy Equality 33%
  • Energy Inequality 33%
• 1992

  A probabilistic approach to Volterra equations in Banach spaces

  Fujita, Y. & Da Prato, G., 1992/07, In: Differential and Integral Equations. 5, 4, p. 769-776 8 p.

  Research output: Contribution to journal › Article › peer-review

  • Probabilistic Approach 100%
  • Volterra Equation 100%
  • Equations in Banach Spaces 100%
  • Transformation Formula 100%
  • Banach Space 100%
  3 Scopus citations

• Energy inequalities for integro-partial differential equations with Riemann-Liouville integrals

  Fujita, Y., 1992, In: SIAM Journal on Mathematical Analysis. 23, p. 1182–1188

  Research output: Contribution to journal › Article › peer-review
• 1990

  Cauchy problems of fractional order and stable processes

  Fujita, Y., 1990/10, In: Japan Journal of Applied Mathematics. 7, 3, p. 459-476 18 p.

  Research output: Contribution to journal › Article › peer-review

  • Cauchy Problem 100%
  • Fractional-order Process 100%
  • Stable Process 100%
  • Fractional Order 100%
  • Heat Equation 50%
  46 Scopus citations

• Integrodifferential equation which interpolates the heat equation and the wave equation

  Fujita, Y., 1990/06, In: Osaka Journal of Mathematics. 27, 2, p. 309-321 13 p.

  Research output: Contribution to journal › Article › peer-review

  209 Scopus citations

• Integrodifferential equation which interpolates the heat equation and the wave equation (II)

  Fujita, Y., 1990/12, In: Osaka Journal of Mathematics. 27, 4, p. 797-804 8 p.

  Research output: Contribution to journal › Article › peer-review

  94 Scopus citations
• 1988

  Linear stochastic partial differential equations with constant coefficients

  Fujita, Y., 1988, In: Journal of Mathematics of Kyoto University. 28, p. 301–310

  Research output: Contribution to journal › Article › peer-review
• 1987

  ON BANG-BANG SOLUTIONS OF STOCHASTIC DIFFERENTIAL GAMES.

  Fujita, Y. & Morimoti, H., 1987, In: IEEE Transactions on Automatic Control. AC-32, 6, p. 535-537 3 p.

  Research output: Contribution to journal › Article › peer-review

  • Bang-bang Solution 100%
  • Stochastic Differential Game 100%
  • Stochastic Differential 100%
  • Differential Game 100%
  • Constraints on Control 50%
  3 Scopus citations
• 1986

  Nonlinear semigroups associated with optimal stopping of controlled diffusions under partial observation

  Fujita, Y. & Nisio, M., 1986, In: Computers & Mathematics with Applications. An International Journal. Series A. 12, p. 749–760

  Research output: Contribution to journal › Article › peer-review
• 1985

  Nonlinear semigroup for the unnormalized conditional density

  Fujita, Y., 1985/06, In: Tohoku Mathematical Journal. 37, 2, p. 251-263 13 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  3 Scopus citations