Existence of logarithmic-type solutions to the Kapila-Kassoy problem in dimensions 3 through 9

DOI10.1016/0022-0396(87)90153-7zbMath0648.34018OpenAlexW2056915459MaRDI QIDQ1105091

S. H. Smith

Publication date: 1987

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(87)90153-7

zbMATH Keywords

second order differential equation

Mathematics Subject Classification ID

Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items

On refined blowup estimates for the exponential reaction-diffusion equation, Asymptotic behavior at infinity of the stationary solution to a semilinear heat equation, Nonexistence for the Kassoy problem in dimensions 1 and 2, Concavity of solutions of nonlinear ordinary differential equations, The blow-up rate of solutions of semilinear heat equations, Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation, GPU-based methods for exploring parabolic partial differential equations, Backward selfsimilar solutions of supercritical parabolic equations, Blow-up profiles of solutions for the exponential reaction-diffusion equation, Monotonicity in time of large solutions to a nonlinear heat equation, Diffusion models with blow-up, A description of self-similar blow-up for dimensions n\(\geq 3\)

Cites Work

• Nonexistence for the Kassoy problem in dimensions 1 and 2
• Some global results for nonlinear eigenvalue problems
• Quasilinear Dirichlet problems driven by positive sources
• Nonexistence for the Kassoy Problem
• The Thermal Explosion Confined by a Constant Temperature Boundary:I—The Induction Period Solution
• Reactive-Diffusive System with Arrhenius Kinetics: Dynamics of Ignition