Parabolic PDEs with Dynamic Data under a Bounded Slope Condition

admits supporting hyperplanes with slopes that may vary in time but remain uniformly bounded. The key to handling time-dependent data lies in constructing more flexible upper and lower barriers.

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Publication Details

Journal
Archive for Rational Mechanics and Analysis
Published
2026-04-12
DOI
https://doi.org/10.1007/s00205-026-02184-6
Primary Topic
Advanced Mathematical Physics Problems
Type
article
Field-Weighted Citation Impact
0.00

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article

Parabolic PDEs with Dynamic Data under a Bounded Slope Condition

Verena Bögelein, Frank Duzaar, Giulia Treu
Archive for Rational Mechanics and Analysis
Advanced Mathematical Physics Problems
article

Parabolic PDEs with Dynamic Data under a Bounded Slope Condition

Verena Bögelein, Frank Duzaar, Giulia Treu
article en

Abstract

admits supporting hyperplanes with slopes that may vary in time but remain uniformly bounded. The key to handling time-dependent data lies in constructing more flexible upper and lower barriers.

Archive for Rational Mechanics and AnalysisVol. 250(3)
University of Padua (IT), University of Salzburg (AT)
Istituto Nazionale di Alta Matematica "Francesco Severi", Austrian Science Fund, Universität Salzburg, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni
Openalex Percentile: Top 95%
Advanced Mathematical Physics Problems
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