PARTIAL REGULARITY FOR PARABOLIC SYSTEMS WITH VMO-COEFFICIENTS

Mons L (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Communications on Pure and Applied Analysis American Institute of Mathematical Sciences (AIMS)

Book Volume: 20

Pages Range: 1783-1820

Journal Issue: 5

DOI: 10.3934/cpaa.2021041

Abstract

In this article we establish a partial Holder continuity result for weak solutions of parabolic systems, where the nonlinear vector field A(.) satisfies a standard p-growth condition and a non-degenerate ellipticity condition with respect to the gradient variable, while in the space-time variable z = (x, t) it verifies a VMO-type condition. Thus, no continuity in the space-time variable is assumed. The proof is based on the method of A-caloric approximation, applied on suitably chosen intrinsic cylinders.

Authors with CRIS profile

Léon Mons Lehrstuhl für Partial Differential Equations

How to cite

APA:

Mons, L. (2021). PARTIAL REGULARITY FOR PARABOLIC SYSTEMS WITH VMO-COEFFICIENTS. Communications on Pure and Applied Analysis, 20(5), 1783-1820. https://doi.org/10.3934/cpaa.2021041

MLA:

Mons, Léon. "PARTIAL REGULARITY FOR PARABOLIC SYSTEMS WITH VMO-COEFFICIENTS." Communications on Pure and Applied Analysis 20.5 (2021): 1783-1820.

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