A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations.
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Publication:1856923
DOI10.1016/S0022-247X(02)00305-0zbMath1072.35545OpenAlexW1985982837MaRDI QIDQ1856923
Mario Ohlberger, Kenneth Hvistendahl Karlsen
Publication date: 11 February 2003
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00305-0
Singular perturbations in context of PDEs (35B25) PDEs of mixed type (35M10) Degenerate parabolic equations (35K65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order parabolic equations (35K15)
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Cites Work
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- Nonhomogeneous Dirichlet problems for degenerate parabolic-hyperbolic equations
- Continuous dependence on the nonlinearities of solutions of degenerate parabolic equations
- Entropy solutions for nonlinear degenerate problems
- On strongly degenerate convection-diffusion problems modeling sedimentation-consolidation processes
- Convergence of a finite volume scheme for nonlinear degenerate parabolic equations
- On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients
- \(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations
- On the general equation \(u_ t = a(.,u,\varphi (.,u)_ x)_ x + v\) in \(L^ 1\). II: The evolution problem
- A posteriorierror estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations
- Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation
- On the uniqueness of the solution of the evolution dam problem
- Entropy Solutions for Diffusion-Convection Equations with Partial Diffusivity
- Solution forte entropique de lois scalaires hyperboliques-paraboliques dégénérées
- CAUCHY'S PROBLEM FOR DEGENERATE SECOND ORDER QUASILINEAR PARABOLIC EQUATIONS
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
- Generalized solutions of degenerate second-order quasilinear parabolic and elliptic equations
- Error estimate for approximate solutions of a nonlinear convection-diffusion problem.
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