Backward uniqueness for parabolic operators with variable coefficients in a half space

DOI10.1142/S021919971550011XzbMath1336.35177arXiv1306.3322MaRDI QIDQ5744328

Jie Wu, Li-Qun Zhang

Publication date: 18 February 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3322

zbMATH Keywords

Carleman estimatesparabolic operatorvariable coefficientbackward uniqueness

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Second-order parabolic equations (35K10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (10)

The Landis-Oleinik conjecture in the exterior domain ⋮ Uniqueness of self-shrinkers to the degree-one curvature flow with a tangent cone at infinity ⋮ Singular solutions to parabolic equations in nondivergence form ⋮ Strong backward uniqueness for sublinear parabolic equations ⋮ On backward uniqueness for the heat operator in cones ⋮ Space like strong unique continuation for sublinear parabolic equations ⋮ Monotonicity of generalized frequencies and the strong unique continuation property for fractional parabolic equations ⋮ An approximate solution for a nonlinear biharmonic equation with discrete random data ⋮ Backward uniqueness for general parabolic operators in the whole space ⋮ Radner equilibrium and systems of quadratic BSDEs with discontinuous generators

Cites Work

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• A unique continuation theorem for exterior differential forms on Riemannian manifolds
• On a counterexample concerning unique continuation for elliptic equations in divergence form

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