Strong solutions in \(L^ 1\) of degenerate parabolic equations

DOI10.1006/jdeq.1995.1099zbMath0828.35050OpenAlexW2008140516MaRDI QIDQ1895100

Ronald F. Gariepy, Philippe Benilan

Publication date: 14 January 1996

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1995.1099

zbMATH Keywords

geometric measures\(BV\) functions in several variables

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Second-order parabolic equations (35K10)

Related Items

Strong entropy formulation of degenerated hyperbolic-parabolic scalar laws, Functional inequalities involving nonlocal operators on complete Riemannian manifolds and their applications to the fractional porous medium equation, Continuous dependence of the entropy solution of general parabolic equation, A General Fractional Porous Medium Equation, Strong solutions for nonlinear parabolic integro-differential equations, Fractional porous media equations: existence and uniqueness of weak solutions with measure data, An inhomogeneous porous medium equation with large data: well-posedness, The fractional porous medium equation on manifolds with conical singularities II, The Cauchy-Dirichlet problem for singular nonlocal diffusions on bounded domains, Classical solutions for a logarithmic fractional diffusion equation, Well-posedness of a degenernate parabolic equation issuing from two-dimensional perfect fluid dynamics, Existence of weak solutions for a class of nonlinear diffusion problems, Obstructions to existence in fast-diffusion equations, Regularity of weak solutions of the Cauchy problem to a fractional porous medium equation, On a quasilinear degenerate system arising in semiconductors theory. I: Existence and uniqueness of solutions, Strong solutions to the Richards equation in the unsaturated zone, Renormalized solution for nonlinear degenerate problems in the whole space, Control of the surface of a fluid by a wavemaker, Regularity of Liapunov functions for stable systems, Front propagation for degenerate parabolic equations, On the asymptotic behaviour of solutions to the fractional porous medium equation with variable density