Gradient Higher Integrability for Degenerate Parabolic Double-Phase Systems

被引：0

作者：

Wontae Kim

Juha Kinnunen

Kristian Moring

机构：

[1] Seoul National University,Research Institute of Mathematics

[2] Aalto University,Department of Mathematics

来源：

Archive for Rational Mechanics and Analysis | 2023年 / 247卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove a local higher integrability result for the gradient of a weak solution to degenerate parabolic double-phase systems of p-Laplace type. This result comes with reverse Hölder type estimates. The proof is based on a careful phase analysis, estimates in the intrinsic geometries and stopping time arguments.

引用

共 50 条

[1] Gradient Higher Integrability for Degenerate Parabolic Double-Phase Systems
Kim, Wontae
Kinnunen, Juha
Moring, Kristian
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023, 247 (05)
[2] Gradient higher integrability for singular parabolic double-phase systems
Kim, Wontae
Sarkio, Lauri
[J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2024, 31 (03):
[3] Gradient higher integrability for singular parabolic double-phase systems
Wontae Kim
Lauri Särkiö
[J]. Nonlinear Differential Equations and Applications NoDEA, 2024, 31
[4] HIGHER INTEGRABILITY FOR GRADIENTS OF SOLUTIONS TO DEGENERATE PARABOLIC SYSTEMS
Le, Dung
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2010, 26 (02) : 597 - 608
[5] Higher integrability for weak solutions of higher order degenerate parabolic systems
Boegelein, Verena
[J]. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2008, 33 (02) : 387 - 412
[6] Periodic solutions for a degenerate double-phase parabolic equation with variable growth
Hamza Jourhmane
Abderrazak Kassidi
Khalid Hilal
M’hamed Elomari
[J]. Advances in Operator Theory, 2023, 8
[7] Periodic solutions for a degenerate double-phase parabolic equation with variable growth
Jourhmane, Hamza
Kassidi, Abderrazak
Hilal, Khalid
Elomari, M'hamed
[J]. ADVANCES IN OPERATOR THEORY, 2023, 8 (04)
[8] Higher Integrability of the Gradient in Degenerate Elliptic Equations
Pierre Dreyfuss
[J]. Potential Analysis, 2007, 26 : 101 - 119
[9] Higher integrability of the gradient in degenerate elliptic equations
Dreyfuss, Pierre
[J]. POTENTIAL ANALYSIS, 2007, 26 (02) : 101 - 119
[10] HIGHER INTEGRABILITY FOR PARABOLIC SYSTEMS WITH NON-STANDARD GROWTH AND DEGENERATE DIFFUSIONS
Boegelein, Verena
Duzaar, Frank
[J]. PUBLICACIONS MATEMATIQUES, 2011, 55 (01) : 201 - 250

← 1 2 3 4 5 →