A probabilistic approach to one class of nonlinear differential equations (Q756277)
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scientific article; zbMATH DE number 4190849
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A probabilistic approach to one class of nonlinear differential equations |
scientific article; zbMATH DE number 4190849 |
Statements
A probabilistic approach to one class of nonlinear differential equations (English)
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1991
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We establish connections between positive solutions of a class of nonlinear partial differential equations and hitting probabilities and additive functionals of superdiffusion processes. As an application, we improve results on superprocesses by using the recent progress in the theory of removable singularities for differential equations.
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hitting probabilities
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additive functionals
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