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Summability of the solutions to nonlinear parabolic equations with measure data. (English) Zbl 0962.35098
The Dirichlet problem for a nonlinear parabolic equation in the divergence form is studied. The right hand side and the initial data are bounded Radon measures. A summability result of L. Boccardo and T. Gallouët [J. Convex Anal. 3, No. 2, 361-365 (1996; Zbl 0869.35108)] is extended here from elliptic problems to parabolic ones.
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35D10 Regularity of generalized solutions of PDE (MSC2000)
35R05 PDEs with low regular coefficients and/or low regular data
35B45 A priori estimates in context of PDEs
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