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Local Continuity and Harnack’s Inequality for Double-Phase Parabolic Equations by Kateryna O. Buryachenko; Igor I. Skrypnik is a Mathematics article available to read on EtoBox.

What is Local Continuity and Harnack’s Inequality for Double-Phase Parabolic Equations about?

We consider parabolic equations of the form u tdiv |∇u| p-2 ∇u + a(x, t)|∇u| q-2 ∇u = 0, a(x, t) ≥ 0. In the range 2n n+1 < p < q we establish local properties of bounded solutions u to equation as local continuity and Harnack's type inequality. These properties in a neighborhood of a point (x 0 , t 0 ) depend on the value of the function a(x 0 , t 0 ).

Who reads Local Continuity and Harnack’s Inequality for Double-Phase Parabolic Equations?

Author

Kateryna O. Buryachenko; Igor I. Skrypnik

Publisher

Springer Netherlands; Springer-Verlag; Kluwer Academic Publishers; Springer Science and Business Media LLC (ISSN 0926-2601)

Published

2020

Language

EN

Field

Mathematics (Physical Sciences)