Non-uniqueness for second order elliptic operators

DOI10.1016/J.NA.2015.05.036zbMath1343.47052OpenAlexW813870196MaRDI QIDQ897356

Chiara Spina, Motohiro Sobajima, Metafune, Giorgio

Publication date: 17 December 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.05.036

zbMATH Keywords

discontinuous coefficientselliptic operatorsgeneration resultssingular coefficientsunique extensions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Markov semigroups and applications to diffusion processes (47D07) Degenerate elliptic equations (35J70) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Related Items (7)

Kernel estimates for elliptic operators with second-order discontinuous coefficients ⋮ Sharp kernel estimates for elliptic operators with second-order discontinuous coefficients ⋮ \(L^p\) estimates for the Caffarelli-Silvestre extension operators ⋮ Critical dissipative estimate for a heat semigroup with a quadratic singular potential and critical exponent for nonlinear heat equations ⋮ On Schrödinger operators with inverse square potentials on the half-line ⋮ Some results on second-order elliptic operators with polynomially growing coefficients in \(L^p\)-spaces ⋮ Asymptotic behaviour for elliptic operators with second-order discontinuous coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a class of elliptic operators with unbounded diffusion coefficients
• On the threshold for Kato's selfadjointness problem and its \(L^p\)-generalization
• Scale invariant elliptic operators with singular coefficients
• One-parameter semigroups of positive operators
• On the asymptotics of solutions for some Schrödinger equations with dissipative perturbations of rank one
• Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators
• Kernel estimates for elliptic operators with second-order discontinuous coefficients
• A degenerate elliptic operator with unbounded diffusion coefficients
• Spectral properties of operators obtained by localization methods
• Elliptic operators with unbounded diffusion coefficients in $L^p$ spaces
• The Heat Equation with a Singular Potential
• One-Parameter Semigroups for Linear Evolution Equations

This page was built for publication: Non-uniqueness for second order elliptic operators