Some fundamental a priori estimates for weak solutions of the evolution p-Laplacian equation

APPLICABLE ANALYSIS（2020）

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摘要

We provide a rigorous derivation of some fundamental properties of the solutions to the evolution p-Laplacian equation with source terms in a divergent and non-divergent form.

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关键词

Irena Lasiecka,p-Laplacian evolution equation,a priori estimates,fundamental properties,<inline-graphic xlink,href="gapa_a_1584289_ilm0001,gif",>,<mml,math>,<mml,msup>,<mml,mi>L</mml,mi>,<mml,mn>1</mml,mn>,</mml,msup>,</mml,math>,contraction,continuity on,<inline-graphic xlink,href="gapa_a_1584289_ilm0002,gif",>,<mml,math>,<mml,msup>,<mml,mi>L</mml,mi>,<mml,mi>q</mml,mi>,</mml,msup>,</mml,math>,norm

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