A Harnack's inequality and Hölder continuity for solutions of mixed type evolution equations

DOI10.4171/RLM/711zbMath1347.35179arXiv1508.07836MaRDI QIDQ900702

Fabio Paronetto

Publication date: 22 December 2015

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.07836

zbMATH Keywords

Harnack's inequalityHölder-continuitymixed type equationsparabolic De Giorgi class

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs of mixed type (35M10) A priori estimates in context of PDEs (35B45)

Related Items (4)

Local boundedness for forward-backward parabolic De Giorgi classes with coefficients depending on time ⋮ A Harnack's inequality for mixed type evolution equations ⋮ A Harnack type inequality and a maximum principle for an elliptic-parabolic and forward-backward parabolic De Giorgi class ⋮ An apparently unnatural estimate about forward-backward parabolic equations

Cites Work

• Degenerate parabolic initial-boundary value problems
• A Harnack's inequality for mixed type evolution equations
• Harnack estimates for quasi-linear degenerate parabolic differential equations
• On an equation of mixed type from electron scattering theory
• Existence results for a class of evolution equations of mixed type
• Parabolic De Giorgi classes of order \(p\) and the Harnack inequality
• Sur une équation d'évolution changeant de type
• On a forward-backward parabolic equation
• Weighted Poincare and Sobolev Inequalities and Estimates for Weighted Peano Maximal Functions
• Unnamed Item

This page was built for publication: A Harnack's inequality and Hölder continuity for solutions of mixed type evolution equations