Sur l'unicité du problème de Cauchy et le prolongement unique pour des équations elliptiques à coefficients non localement bornes

DOI10.1016/0022-0396(82)90072-9zbMath0431.35017OpenAlexW2051740592MaRDI QIDQ1138152

Jean Claude Saut, Bruno Scheurer

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-0396(82)90072-9

zbMATH Keywords

Carleman estimatesunique continuation propertyelliptic differential operatorlocally bounded non principal coefficients

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Continuation and prolongation of solutions to PDEs (35B60) Higher-order elliptic equations (35J30)

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State-constrained semilinear elliptic optimization problems with unrestricted sparse controls ⋮ Unique continuation for some evolution equations ⋮ Uniqueness of inverse source problems for general evolution equations ⋮ RECOVERY OF NON-COMPACTLY SUPPORTED COEFFICIENTS OF ELLIPTIC EQUATIONS ON AN INFINITE WAVEGUIDE ⋮ Necessary and sufficient optimality conditions for elliptic control problems with finitely many pointwise state constraints ⋮ Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems ⋮ Lecture on Calderón problem ⋮ Uniqueness to some inverse source problems for the wave equation in unbounded domains ⋮ The unique continuation property for second order evolution PDEs ⋮ Determination of non-compactly supported electromagnetic potentials in an unbounded closed waveguide ⋮ Unique continuation properties of the nonlinear Schrödinger equation ⋮ Optimal control of an ill-posed elliptic semilinear equation with an exponential non linearity

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