On the definition of viscosity solutions for parabolic equations
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Publication:2723485
DOI10.1090/S0002-9939-01-05889-0zbMath0979.35071WikidataQ110030396 ScholiaQ110030396MaRDI QIDQ2723485
Publication date: 5 July 2001
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Generalized solutions to partial differential equations (35D99)
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Cites Work
- Unnamed Item
- Degenerate parabolic equations
- Classes of solutions of linear systems of partial differential equations of parabolic type
- Generalized motion by curvature with a Dirichlet condition
- Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor
- On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation
- User’s guide to viscosity solutions of second order partial differential equations
- On the Dirichlet Boundary Value Problem for a Degenerate Parabolic Equation