On basin of zero-solutions to a semilinear parabolic equation with Ornstein-Uhlenbeck operator

DOI10.1155/JIA/2006/52498zbMath1092.35041WikidataQ59212487 ScholiaQ59212487MaRDI QIDQ2491577

Yasuhiro Fujita

Publication date: 29 May 2006

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/126253

zbMATH Keywords

logarithmic Sobolev inequality

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order parabolic equations (35K15)

Cites Work

• Unnamed Item
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• On the Ornstein-Uhlenbeck operator in spaces of continuous functions
• Logarithmic Sobolev Inequalities
• Asymptotic Solutions of Viscous Hamilton–Jacobi Equations with Ornstein–Uhlenbeck Operator
• Second order PDE's in finite and infinite dimension
• Elliptic operators on \(\mathbb{R}^d\) with unbounded coefficients

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