Uniqueness of solutions to degenerate parabolic and elliptic equations in weighted Lebesgue spaces

DOI10.1002/mana.201200040zbMath1272.35004OpenAlexW2002237777MaRDI QIDQ5325962

Fabio Punzo

Publication date: 31 July 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201200040

zbMATH Keywords

adjoint equationdistance function from the boundaryno boundary condition

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Degenerate elliptic equations (35J70) Initial value problems for second-order parabolic equations (35K15) Singular elliptic equations (35J75) Singular parabolic equations (35K67) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

Uniqueness for degenerate parabolic equations in weighted \(L^1\) spaces ⋮ Uniqueness for fractional parabolic and elliptic equations with drift ⋮ Uniqueness in weighted Lebesgue spaces for an elliptic equation with drift on manifolds ⋮ Initial-boundary value problems for conservative Kimura-type equations: solvability, asymptotic and conservation law ⋮ Uniqueness for the heat equation in Riemannian manifolds ⋮ Uniqueness in weighted Lebesgue spaces for a class of fractional parabolic and elliptic equations ⋮ Integral conditions for uniqueness of solutions to degenerate parabolic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness and nonuniqueness of solutions to parabolic problems with singular coefficients
• On the uniqueness of bounded solutions to singular parabolic problems
• Uniqueness of solutions to degenerate elliptic problems with unbounded coefficients
• Criteria for well-posedness of degenerate elliptic and parabolic problems
• On the refined maximum principle for degenerate elliptic and parabolic problems
• Uniqueness of solutions of the Cauchy problem for parabolic equations
• On degenerate elliptic-parabolic operators of second order and their associated diffusions
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
• Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in $ℝ^{n}$
• Diffusion Processes and Elliptic Differential Equations Degenerating at the Boundary of the Domain

This page was built for publication: Uniqueness of solutions to degenerate parabolic and elliptic equations in weighted Lebesgue spaces