Local well-posedness for semilinear heat equations on H type groups

DOI10.11650/TJM/180301zbMath1401.35003OpenAlexW2789802178MaRDI QIDQ1990425

Yasuyuki Oka

Publication date: 25 October 2018

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1520992813

zbMATH Keywords

semilinear heat equationlocal well-posednessH type group

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Globally well-posedness results of the fractional Navier-Stokes equations on the Heisenberg group ⋮ An existence and uniqueness result for the Navier-Stokes type equations on the Heisenberg group

Cites Work

• Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
• Semilinear evolution equations in Banach spaces
• Uniqueness of rapidly decaying solutions to the Haraux-Weissler equation
• A nonlinear heat equation with singular initial data
• Singular Behavior in Nonlinear Parabolic Equations
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
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