Verena Bögelein, Frank Duzaar, Raffaella Giova, Antonia Passarelli di Napoli
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引用次数: 0
Abstract
SIAM Journal on Mathematical Analysis, Volume 56, Issue 4, Page 5017-5078, August 2024. Abstract. In this paper we study the [math] regularity of the weak solutions to the widely degenerate parabolic system [math] where [math], [math] is a parabolic cylinder with a bounded domain [math], and [math]. For the weak solutions [math] with [math], we prove that [math] is continuous in [math] for any continuous function [math] vanishing on the set [math].
期刊介绍：
SIAM Journal on Mathematical Analysis (SIMA) features research articles of the highest quality employing innovative analytical techniques to treat problems in the natural sciences. Every paper has content that is primarily analytical and that employs mathematical methods in such areas as partial differential equations, the calculus of variations, functional analysis, approximation theory, harmonic or wavelet analysis, or dynamical systems. Additionally, every paper relates to a model for natural phenomena in such areas as fluid mechanics, materials science, quantum mechanics, biology, mathematical physics, or to the computational analysis of such phenomena.
Submission of a manuscript to a SIAM journal is representation by the author that the manuscript has not been published or submitted simultaneously for publication elsewhere.
Typical papers for SIMA do not exceed 35 journal pages. Substantial deviations from this page limit require that the referees, editor, and editor-in-chief be convinced that the increased length is both required by the subject matter and justified by the quality of the paper.
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