Blow-up and stability of semilinear PDEs with gamma generators

DOI10.1016/j.jmaa.2004.11.003zbMath1112.35042OpenAlexW1969104852MaRDI QIDQ555837

Nicolas Privault, Jose Alfredo Lopez Mimbela

Publication date: 10 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.11.003

zbMATH Keywords

Feynman-Kac representationBlow-up of semilinear systemsGamma processesSemilinear partial differential equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items

Impacts of Gaussian noises on the blow-up times of nonlinear stochastic partial differential equations ⋮ Large time behavior of reaction-diffusion equations with Bessel generators ⋮ The logarithmic Schrödinger operator and associated Dirichlet problems ⋮ Finite Time Blow Up and Stability of a Semilinear Equation with a Time Dependent Lévy Generator

Cites Work

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• Fujita type results for convective-like reaction diffusion equations in exterior domains
• Bounds for the difference between median and mean of beta and negative binomial distributions
• Semigroups of linear operators and applications to partial differential equations
• Bounds for the difference between median and mean of gamma and Poisson distributions
• Existence and non-existence of global solutions for a semilinear heat equation
• On nonexistence of global solutions for some nonlinear integral equations
• Transience and solvability of a non-linear diffusion equation
• On the growing problem for semilinear heat equations
• Processes of Meixner type
• Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations
• A note on nonexistence of global solutions to a nonlinear integral equation
• The role of critical exponents in blow-up theorems: The sequel
• A reliability model based on the gamma process and its analytic theory
• The Role of Critical Exponents in Blowup Theorems
• Functional Integration and Partial Differential Equations. (AM-109)
• A note on the behaviour of the stable distributions for small index ?
• Length of Galton–Watson trees and blow-up of semilinear systems
• A probabilistic proof of non-explosion of a non-linear PDE system
• Blow-up of semilinear pde’s at the critical dimension. A probabilistic approach
• Probabilistic Treatment of the Blowing up of Solutions for a Nonlinear Integral Equation