Regularity properties of a doubly degenerate equation in hydrology

DOI10.1080/03605308808820543zbMath0635.35053OpenAlexW1971946143MaRDI QIDQ3774246

C. J. Van Duijn, Hongfei Zhang

Publication date: 1988

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308808820543

zbMATH Keywords

monotonicityregularityinitial value problemwaiting timedegenerate diffusionLipschitz continuityestimateenergy inequalityfinite speed of propagationfree boundariesdegenerate equationBernstein argumentgroundwater in porous medium

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35) Initial value problems for second-order parabolic equations (35K15)

Related Items

Existence and uniqueness of radial solutions for fresh/salt water interface equation in a confined aquifer, On a doubly degenerate equation arising in fresh-salt water flow with pumping, On the asymptotic behaviour of the solutions of a degenerate equation in hydrology, A necessary and sufficient condition for finite speed of propagation in the theory of doubly nonlinear degenerate parabolic equations, On a degenerate parabolic equation with singular convection, Regularity of the free boundary in a doubly degenerate parabolic equation

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