Estimates of solutions for the parabolic $p$-Laplacian equation with measure via parabolic nonlinear potentials

Igor I. Skrypnik; Vitali Liskevich; Zeev Sobol

arxiv: 1205.1445 · v1 · pith:OKB3UPQ3new · submitted 2012-05-07 · 🧮 math.AP

Estimates of solutions for the parabolic p-Laplacian equation with measure via parabolic nonlinear potentials

Vitali Liskevich , Igor I. Skrypnik , Zeev Sobol This is my paper

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keywords parabolicequationestimatesmeasurenonlinearsolutionsevolutionalhand

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For weak solutions to the evolutional $p$-Laplace equation with a time-dependent Radon measure on the right hand side we obtain pointwise estimates via a nonlinear parabolic potential.

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Estimates of solutions for the parabolic p-Laplacian equation with measure via parabolic nonlinear potentials

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