Name: Strong Traces to Degenerate Parabolic Equations
Keywords: degenerate parabolic equations ; strong traces ; kinetic formulation, Mathematics - Analysis of PDEs, defect measures, kinetic formulation, degenerate parabolic equations, FOS: Mathematics, degenerate parabolic equations ; strong traces ; defect measures, 101002 Analysis, strong traces, Primary 35K65, 35D99, Secondary 42B37, 76S99

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Conference object 17 Mar 2022Embargo end date: 01 Jan 2020 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 54, pages 1,775-1,796 (issn: 0036-1410, eissn: 1095-7154,

Authors: Marko Erceg; Darko Mitrović;

doi: 10.1137/21m1425530 , 10.48550/arxiv.2008.08307

arXiv: http://arxiv.org/abs/2008.08307

Strong Traces to Degenerate Parabolic Equations

- Summary
- Subjects
- Metrics

Abstract

We prove existence of strong traces at $t=0$ for quasi-solutions to (multidimensional) degenerate parabolic equations with no non-degeneracy conditions. In order to solve the problem, we combine the blow up method and a strong precompactness result for quasi-solutions to degenerate parabolic equations with the induction argument with respect to the space dimension.

Related Organizations

University of Vienna
Austria
University of Zagreb
Croatia

Keywords

degenerate parabolic equations ; strong traces ; kinetic formulation, Mathematics - Analysis of PDEs, defect measures, kinetic formulation, degenerate parabolic equations, FOS: Mathematics, degenerate parabolic equations ; strong traces ; defect measures, 101002 Analysis, strong traces, Primary 35K65, 35D99, Secondary 42B37, 76S99, Analysis of PDEs (math.AP)

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	2
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Average

Green

bronze

Fields of Science

Fields of Science

Funded by

HRZZ| Microlocal defect tools in partial differential equations