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Applicable Analysis
An International Journal
Volume 20, 1985 - Issue 3-4
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Original Articles

Regularizing effects for first-order hamilton-jacobi equations

P.L. Lions Ceremade, Universite Paris-Dauphine, Place de Lattre de Tassigny, Paris Cedex 16, 75775, France
Pages 283-307 | Received 25 Jun 1985, Published online: 20 Jan 2011

Citations (12)

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Alexander Lorz, Sepideh Mirrahimi & Benoît Perthame. (2011) Dirac Mass Dynamics in Multidimensional Nonlocal Parabolic Equations. Communications in Partial Differential Equations 36:6, pages 1071-1098.
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Articles from other publishers (11)

Liang Jin, Lin Wang & Jun Yan. (2020) A representation formula of viscosity solutions to weakly coupled systems of Hamilton-Jacobi equations with applications to regularizing effect. Journal of Differential Equations 268:5, pages 2012-2039.
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Yasuhiro Fujita. (2018) Lower estimates of L∞-norm of gradients for Cauchy problems. Journal of Mathematical Analysis and Applications 458:2, pages 910-924.
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Marie Françoise Bidaut-Véron & Nguyen Anh Dao. (2013) estimates and uniqueness results for nonlinear parabolic equations with gradient absorption terms. Nonlinear Analysis: Theory, Methods & Applications 91, pages 121-152.
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Alessio Porretta & Enrique Zuazua. (2012) Null controllability of viscous Hamilton–Jacobi equations. Annales de l'Institut Henri Poincaré C, Analyse non linéaire 29:3, pages 301-333.
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Luis Silvestre. (2011) On the differentiability of the solution to the Hamilton–Jacobi equation with critical fractional diffusion. Advances in Mathematics 226:2, pages 2020-2039.
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Pierre Cardaliaguet. (2008) A note on the regularity of solutions of Hamilton-Jacobi equations with superlinear growth in the gradient variable. ESAIM: Control, Optimisation and Calculus of Variations 15:2, pages 367-376.
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Jean-Philippe Bartier & Philippe Laurençot. (2008) Gradient estimates for a degenerate parabolic equation with gradient absorption and applications. Journal of Functional Analysis 254:3, pages 851-878.
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Nicolas Dirr & Panagiotis E. Souganidis. (2005) Large-Time Behavior for Viscous and Nonviscous Hamilton--Jacobi Equations Forced by Additive Noise. SIAM Journal on Mathematical Analysis 37:3, pages 777-796.
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P.-L. Lions, B. Perthame & E. Tadmor. (1994) A kinetic formulation of multidimensional scalar conservation laws and related equations. Journal of the American Mathematical Society 7:1, pages 169-191.
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Michael G. Crandall, Hitoshi Ishii & Pierre-Louis Lions. (1992) User’s guide to viscosity solutions of second order partial differential equations. Bulletin of the American Mathematical Society 27:1, pages 1-67.
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Michael G. Crandall, Pierre-Louis Lions & Panagiotis E. Souganidis. (1989) Maximal solutions and universal bounds for some partial differential equations of evolution. Archive for Rational Mechanics and Analysis 105:2, pages 163-190.
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