On a question of Landis and Oleinik
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Publication:3566700
DOI10.1090/S0002-9947-10-04733-1zbMath1191.35013arXiv0711.0965MaRDI QIDQ3566700
Publication date: 8 June 2010
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0711.0965
Parabolic equations and parabolic systems (35K99) 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 ⋮ Uniqueness of self-similar shrinkers with asymptotically conical ends ⋮ Hardy’s uncertainty principle and unique continuation property for stochastic heat equations ⋮ Variable-coefficient parabolic theory as a high-dimensional limit of elliptic theory ⋮ Uniqueness properties of solutions to Schrödinger equations ⋮ On Landis' conjecture in the plane for some equations with sign-changing potentials ⋮ Quantitative uniqueness estimates for the general second order elliptic equations ⋮ Backward uniqueness for general parabolic operators in the whole space ⋮ Radner equilibrium and systems of quadratic BSDEs with discontinuous generators
Cites Work
- Decay at infinity of caloric functions within characteristic hyperplanes
- Unique continuation for parabolic operators
- Backward uniqueness for parabolic equations
- Uniqueness properties of solutions of Schrödinger equations
- Unique Continuation for Parabolic Operators. II
- Remark on the strong unique continuation property for parabolic operators
- Backward uniqueness for the heat operator in a half-space
- Doubling properties of caloric functions
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