Remarks on viscosity solutions for evolution equations

DOI10.3792/pjaa.67.323zbMath0816.35063OpenAlexW2056568476MaRDI QIDQ1185147

Yun-Gang Chen, Shun'ichi Goto, Yoshikazu Giga

Publication date: 28 June 1992

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.67.323

zbMATH Keywords

viscosity subsolution

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65)

Related Items (7)

Viscosity solutions with shocks ⋮ Central limit theorem under uncertain linear transformations ⋮ Backward stochastic differential equations with rough drivers ⋮ Regularity Theory for Rough Partial Differential Equations and Parabolic Comparison Revisited ⋮ On semicontinuous solutions for general Hamilton-Jacobi equations ⋮ A LEVEL SET APPROACH TO SEMICONTINUOUS VISCOSITY SOLUTIONS FOR CAUCHY PROBLEMS ⋮ On existence and uniqueness of viscosity solutions for second order fully nonlinear PDEs with Caputo time fractional derivatives

Cites Work

• Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
• Toward a nonequilibrium thermodynamics of two-phase materials
• Uniqueness of viscosity solutions of fully nonlinear second order parabolic equations with discontinuous time-dependence
• Motion of hypersurfaces and geometric equations
• Viscosity Solutions of Hamilton-Jacobi Equations at the Boundary
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
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