Pointwise estimates of solutions to weighted parabolic p-Laplacian equation via Wolff potential-Reference-Cited by-同舟云学术

Pointwise estimates of solutions to weighted parabolic p-Laplacian equation via Wolff potential

Published:2023-02-27 Issue: Volume:36 Page:72-87
ISSN:1683-4720
Container-title:Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine
language:uk
Short-container-title:Proc. IAMM NASU

Author:

Zozulia Yevhen¹

Affiliation:

1. Donbass State Engineering Academy, Kramatorsk, Ukraine

Abstract

For the weighted parabolic equation \v\left(x \right)u_{t} -{\hbox{div}({w(x)| \nabla u |^{p-2}}} \nabla u) = f , p >{2} we prove the local boundedness for weak solutions in terms of the weighted Wolff potential of the right-hand side of equation.

Publisher

Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine

Subject

General Engineering

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