A Harnack type inequality and a maximum principle for an elliptic-parabolic and forward-backward parabolic De Giorgi class

DOI10.3934/dcdss.2017043zbMath1360.35121OpenAlexW2607094177MaRDI QIDQ524557

Fabio Paronetto

Publication date: 3 May 2017

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2017043

zbMATH Keywords

maximum principleweighted Sobolev spaceselliptic equationsparabolic equationsHarnack's inequalityHölder-continuitymixed type equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs of mixed type (35M10) Degenerate parabolic equations (35K65) Maximum principles in context of PDEs (35B50) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations (35J62)

Related Items (1)

Local boundedness for forward-backward parabolic De Giorgi classes with coefficients depending on time

Cites Work

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• A Harnack's inequality and Hölder continuity for solutions of mixed type evolution equations
• A Harnack's inequality for mixed type evolution equations
• The local regularity of solutions of degenerate elliptic equations
• Mean value and Harnack inequalities for degenerate parabolic equations

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