On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium
DOI10.1016/0022-0396(87)90125-2zbMath0634.35042OpenAlexW1987310399MaRDI QIDQ1096789
Robert Kersner, Jesús Ildefonso Díaz
Publication date: 1987
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(87)90125-2
porous mediumuniquenessweak solutionsDirichlet boundary conditionsmodulus of continuityevaporationinfiltrationinitial dataexistence of limit solutions
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Theoretical approximation in context of PDEs (35A35) Weak solutions to PDEs (35D30) Generalized solutions to partial differential equations (35D99)
Related Items (78)
Cites Work
- A boundary modulus of continuity for a class of singular parabolic equations
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- Properties of solutions of an equation in the theory of infiltration
- The first boundary value problem for quasilinear degenerate parabolic equations of second order in several space variables
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- Regularity Propeties of Flows Through Porous Media
- EXISTENCE "IN THE LARGE" OF SMOOTH SOLUTIONS OF DEGENERATE QUASILINEAR EQUATIONS
- CAUCHY'S PROBLEM FOR DEGENERATE SECOND ORDER QUASILINEAR PARABOLIC EQUATIONS
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