Viscosity solutions of a class of degenerate quasilinear parabolic equations with Dirichlet boundary condition
DOI10.1016/j.na.2011.12.017zbMath1242.35154OpenAlexW2064715524WikidataQ57431936 ScholiaQ57431936MaRDI QIDQ765843
Publication date: 22 March 2012
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.12.017
porous mediumDirichlet boundary conditionreaction-diffusion equationsviscosity solutionscomparison propertiesdegenerate quasilinear parabolic equationsviscosity upper and lower solutions
Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Viscosity solutions to PDEs (35D40) Quasilinear parabolic equations (35K59)
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Cites Work
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- Nonhomogeneous Dirichlet problems for degenerate parabolic-hyperbolic equations
- A kinetic approach to comparison properties for degenerate parabolic-hyperbolic equations with boundary conditions
- Positive solutions of quasilinear parabolic systems with nonlinear boundary conditions
- On the normal form of the symmetric hyperbolic-parabolic systems associated with the conservation laws
- Entropy solutions for nonlinear degenerate problems
- Viscosity solutions of fully nonlinear parabolic systems.
- Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws
- Positive solutions of quasilinear parabolic systems with Dirichlet boundary condition
- Regularity of viscosity solutions to a degenerate nonlinear Cauchy problem
- Viscosity solutions for elliptics-parabolic problems
- A remark on the existence of viscosity solutions for quasilinear elliptic equations
- Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients
- Discontinuous "Viscosity" Solutions of a Degenerate Parabolic Equation
- Positivity properties of viscosity solutions of a degenerate parabolic equation
- User’s guide to viscosity solutions of second order partial differential equations
- Nonlinear elliptic boundary-value problems in unbounded domains
- Monotone iterative method for degenerate nonlinear parabolic equations
- On a Free Boundary Problem for a Strongly Degenerate Quasi-Linear Parabolic Equation with an Application to a Model of Pressure Filtration
- Estimates for viscosity solutions of parabolic equations with Dirichlet boundary conditions
- Viscosity solutions for quasilinear degenerate parabolic equations of porous medium type
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