Existence and uniqueness of viscosity solutions for a degenerate parabolic equation associated with the infinity-Laplacian

DOI10.1007/s00526-007-0117-6zbMath1139.35064OpenAlexW2065557798WikidataQ115387704 ScholiaQ115387704MaRDI QIDQ2480831

Kazumasa Suzuki, Goro Akagi

Publication date: 3 April 2008

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-007-0117-6

zbMATH Keywords

Cauchy-Dirichlet problemcoercive regularization

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65)

Related Items (10)

Parabolic biased infinity Laplacian equation related to the biased tug-of-war ⋮ An inhomogeneous evolution equation involving the normalized infinity Laplacian with a transport term ⋮ Degenerate homogeneous parabolic equations associated with the infinity-Laplacian ⋮ A weighted eigenvalue problem of the degenerate operator associated with infinity Laplacian ⋮ On the viscosity solutions to a degenerate parabolic differential equation ⋮ Asymptotic behavior of viscosity solutions for a degenerate parabolic equation associated with the infinity-Laplacian ⋮ Positive viscosity solutions of a third degree homogeneous parabolic infinity Laplace equation ⋮ Refined Asymptotics for the Infinite Heat Equation with Homogeneous Dirichlet Boundary Conditions ⋮ Statistical exponential formulas for homogeneous diffusion ⋮ Viscosity solutions to a parabolic inhomogeneous equation associated with infinity Laplacian

Cites Work

• Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient
• Another way to say caloric
• On the evolution governed by the infinity Laplacian
• Extension of functions satisfying Lipschitz conditions
• User’s guide to viscosity solutions of second order partial differential equations
• A tour of the theory of absolutely minimizing functions
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