The relation between the porous medium and the eikonal equations in several space dimensions
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Publication:910921
DOI10.4171/RMI/51zbMath0697.35012OpenAlexW2049844083MaRDI QIDQ910921
Pierre-Louis Lions, Panagiotis E. Souganidis, Juan Luis Vazquez
Publication date: 1987
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/39356
viscosity solutionCauchy probleminterfaceHamilton-Jacobi equationsporous medium equationeikonal equation
Singular perturbations in context of PDEs (35B25) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35) Degenerate hyperbolic equations (35L80)
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