Non-linear Neumann's condition for the heat equation : a probabilistic representation using catalytic super-Brownian motion
- Author
- DELMAS, Jean-Francois1 ; VOGT, Pascal2
[1] ENPC-CERMICS, 6-8 av. Blaise Pascal, Champs-sur-Marne, 77455 Marne La Vallée, France
[2] University of Bath, Department of Mathematical Sciences, Bath BA2 7AY, United Kingdom - Source
Annales de l'I.H.P. Probabilités et statistiques. 2005, Vol 41, Num 5, pp 817-849, 33 p ; ref : 16 ref
- CODEN
- AHPBAR
- ISSN
- 0246-0203
- Scientific domain
- Mathematics
- Publisher
- Elsevier, Paris
- Publication country
- France
- Document type
- Article
- Language
- English
- Author keyword
- 35C15 35J65 Non-linear boundary value problem 60G57 60H30 60J55 60J80 Catalytic super-Brownian motion Collision local time Exit-measure
- Keyword (fr)
- Equation chaleur Mouvement brownien Problème non linéaire Problème valeur limite Solution positive Théorie probabilité Transformation Laplace Condition Dirichlet Domaine borné Fonction définie positive Formule probabiliste Mouvement brownien réfléchi Mouvement catalytique Superprocessus Temps local collision
- Keyword (en)
- Heat equation Brownian motion Nonlinear problems Boundary value problem Positive solution Probability theory Laplace transformation Catalytic motion Collision local time
- Keyword (es)
- Ecuación calor Movimiento browniano Problema valor limite Solución positiva Teoría probabilidad Transformación Laplace
- Classification
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis / 001A02E08 Partial differential equations
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02H Probability and statistics / 001A02H01 Probability theory and stochastic processes / 001A02H01H Stochastic processes
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02H Probability and statistics / 001A02H01 Probability theory and stochastic processes / 001A02H01I Stochastic analysis
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02H Probability and statistics / 001A02H01 Probability theory and stochastic processes / 001A02H01J Markov processes
- Discipline
- Mathematics
- Origin
- Inist-CNRS
- Database
- PASCAL
- INIST identifier
- 17066939
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
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DOI
10.1016/j.anihpb.2004.05.007 
https://dx.doi.org/10.1016/j.anihpb.2004.05.007
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