On doubling properties for non-negative weak solutions of elliptic and parabolic PDE

DOI10.1007/BF02810591zbMath0942.35093MaRDI QIDQ1972835

Kazuhiro Kurata

Publication date: 7 June 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Harnack inequalityweak supersolutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

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Cites Work

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• A remark on a Harnack inequality for dengerate parabolic equations
• Harnack's inequality for quasilinear elliptic equations with coefficients in Morrey spaces
• Recent work on sharp estimates in second-order elliptic unique continuation problems
• Local behavior of solutions of quasilinear parabolic equations
• Harnack's Inequality for Schrodinger Operators and the Continuity of Solutions
• A unique continuation theorem for uniformly elliptic equations with strongly singular potentials
• A Harnack inequality for degenerate parabolic equations
• L^PEstimates for fractional integrals and sobolev inequalities with applications to schrödinger operators
• Weighted Norm Estimates for Sobolev Spaces
• Unique continuation for elliptic operators: A geometric-variational approach
• The local regularity of solutions of degenerate elliptic equations
• A harnack inequality for parabolic differential equations

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