Unique Continuation Properties and Quantitative Estimates of Unique Continuation for Parabolic Equations

DOI10.1016/S1874-5717(08)00212-0zbMath1203.35006OpenAlexW1542828544MaRDI QIDQ5188525

Sergio Vessella

Publication date: 10 March 2010

Published in: Handbook of Differential Equations - Evolutionary Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1874-5717(08)00212-0

zbMATH Keywords

second-order parabolic equationsbackward problemCarleman estimates methodstwo-sphere one-cylinder inequalities

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Continuation and prolongation of solutions to PDEs (35B60) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Parabolic equations and parabolic systems (35Kxx)

Related Items (12)

Observation estimate for kinetic transport equations by diffusion approximation ⋮ The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method ⋮ On instability mechanisms for inverse problems ⋮ Couplings via comparison principle and exponential ergodicity of SPDEs in the hypoelliptic setting ⋮ Strong backward uniqueness for sublinear parabolic equations ⋮ Space like strong unique continuation for sublinear parabolic equations ⋮ Carleman estimates for the parabolic transmission problem and Hölder propagation of smallness across an interface ⋮ Carleman commutator approach in logarithmic convexity for parabolic equations ⋮ Traces of Entropy Solutions to Second Order Forward-Backward Parabolic Equations ⋮ Quantitative unique continuation for the heat equation with Coulomb potentials ⋮ Unique continuation inequalities for the parabolic-elliptic chemotaxis system ⋮ Radner equilibrium and systems of quadratic BSDEs with discontinuous generators

This page was built for publication: Unique Continuation Properties and Quantitative Estimates of Unique Continuation for Parabolic Equations