POROUS MEDIUM TYPE EQUATIONS WITH MEASURE DATA AND POTENTIAL ESTIMATES

Bögelein V, Duzaar F, Gianazza U (2013)

Publication Status: Published

Publication Type: Journal article

Publication year: 2013

Journal

SIAM Journal on Mathematical Analysis Society for Industrial and Applied Mathematics

Publisher: Society for Industrial and Applied Mathematics

Book Volume: 45

Pages Range: 3283-3330

Journal Issue: 6

DOI: 10.1137/130925323

Abstract

We consider nonhomogeneous, degenerate (m > 1) porous medium type equations with a nonnegative Radon measure mu having finite total mass mu(E-T) on the right-hand side, and we derive linear pointwise estimates for solutions via Riesz potentials. Then, we deal with a Cauchy Dirichlet problem for the same equation, with homogeneous boundary conditions on the parabolic boundary of the domain E-T, and we establish the existence of a solution in the sense of distributions.

Authors with CRIS profile

Verena Anna Maria Bögelein Naturwissenschaftliche Fakultät Frank Duzaar Lehrstuhl für Partial Differential Equations

Involved external institutions

Università degli Studi di Pavia IT Italy (IT)

How to cite

APA:

Bögelein, V., Duzaar, F., & Gianazza, U. (2013). POROUS MEDIUM TYPE EQUATIONS WITH MEASURE DATA AND POTENTIAL ESTIMATES. SIAM Journal on Mathematical Analysis, 45(6), 3283-3330. https://dx.doi.org/10.1137/130925323

MLA:

Bögelein, Verena, Frank Duzaar, and Ugo Gianazza. "POROUS MEDIUM TYPE EQUATIONS WITH MEASURE DATA AND POTENTIAL ESTIMATES." SIAM Journal on Mathematical Analysis 45.6 (2013): 3283-3330.

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