On the absence of rapidly decaying solutions for parabolic operators whose coefficients are non-Lipschitz continuous in time
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Publication:3420007
DOI10.1090/S0002-9939-06-08465-6zbMath1143.35009arXivmath/0409098OpenAlexW1536415694MaRDI QIDQ3420007
Martino Prizzi, Daniele Del Santo
Publication date: 1 February 2007
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0409098
Asymptotic behavior of solutions to PDEs (35B40) Abstract parabolic equations (35K90) Initial value problems for second-order parabolic equations (35K15) Second-order parabolic equations (35K10)
Cites Work
- Local uniqueness in the Cauchy problem for second order elliptic equations with non-Lipschitzian coefficients
- Nonunique continuation for uniformly parabolic and elliptic equations in self-adjoint divergence form with Hölder continuous coefficients
- Backward uniqueness for parabolic operators whose coefficients are non-Lipschitz continuous in time
- Asymptotic decay of solutions of differential inequalities
- A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions of elliptic equations
- Properties of Solutions of Parabolic Equations and Inequalities
- Lower Bounds and Uniqueness Theorems for Solutions of Differential Equations in a Hilbert Space
- Lower Bounds for Solutions of Parabolic Differential Inequalities
- Asymptotic Behaviour of Solutions of Parabolic Differential Inequalities
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