Laplace asymptotics for generalized K.P.P. equation

DOI10.1051/ps:1997109zbMath0903.35027OpenAlexW1970842709MaRDI QIDQ4386048

Jean-Philippe Rouquès

Publication date: 26 April 1998

Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/104234

zbMATH Keywords

Feynman-Kac formulanonlinear diffusionprobabilistic formulation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Cites Work

• Stochastic calculus with anticipating integrands
• KPP equation and supercritical branching Brownian motion in the subcritical speed area. Application to spatial trees
• Gaussian measures in Banach spaces
• The behavior of solutions of some non-linear diffusion equations for large time
• Laplace asymptotics for reaction-diffusion equations
• Estimation of the coefficients of a diffusion from discrete observations
• Functional Integration and Partial Differential Equations. (AM-109)
• Methods de laplace et de la phase stationnaire sur l'espace de wiener
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