Initial value problems for the nonlinear heat equation in Triebel-Lizorkin spaces

DOI10.1016/j.na.2004.07.024zbMath1065.35139OpenAlexW1994945012MaRDI QIDQ1887994

Lin Tang

Publication date: 22 November 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.07.024

zbMATH Keywords

small initial data

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15)

Cites Work

• Global existence for nonlinear parabolic equations
• Existence and non-existence of global solutions for a semilinear heat equation
• Long-time behavior of solutions to nonlinear evolution equations
• On the Boundedness of Pseudo - Differential Operators on Weighted Besov - Triebel Spaces
• Global existence of small solutions to a class of nonlinear evolution equations
• Remarks on global existence for nonlinear parabolic equations
• Entropy Numbers and Approximation Numbers in Function Spaces, II
• On the well‐posedness of the Euler equations in the Triebel‐Lizorkin spaces
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