On higher-order semilinear parabolic equations with measures as initial data

DOI10.4171/JEMS/8zbMath1131.35346MaRDI QIDQ1772561

Victor A. Galaktionov

Publication date: 18 April 2005

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_issue.php?issn=1435-9855&vol=6&iss=2

zbMATH Keywords

existencenonexistenceboundary layer phenomenonDirac massregular approximations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Initial value problems for higher-order parabolic equations (35K30)

Related Items (1)

Non-Radial Very Singular Similarity Solutions of Absorption-Diffusion Equations with Non-Homogeneous Potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear parabolic equations involving measures as initial conditions
• Complete blow-up after \(T_{\max}\) for the solution of a semilinear heat equation
• Semilinear evolution equations in Banach spaces
• Asymptotic behaviour of nonlinear parabolic equations with critical exponents. A dynamical systems approach
• Local and global existence of solutions to semilinear parabolic initial value problems
• On the asymptotics of global solutions of higher-order semilinear parabolic equations in the supercritical range
• Partial differential equations. 3: Nonlinear equations
• Continuation of blowup solutions of nonlinear heat equations in several space dimensions
• Existence and blow-up for higher-order semilinear parabolic equations: Majorizing order-preserving operators
• On the necessary conditions of global existence to a quasilinear inequality in the half-space
• The Cauchy problem for critical and subcritical semilinear parabolic equations in \(L^r\). I

This page was built for publication: On higher-order semilinear parabolic equations with measures as initial data