On $$L^{p}$$ L p -theory for parabolic and elliptic integro-differential equations with scalable operators in the whole space
| Autor: | R. Mikulevicius, C. Phonsom |
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| Rok vydání: | 2017 |
| Předmět: |
Statistics and Probability
Pure mathematics Partial differential equation Differential equation Applied Mathematics Numerical analysis 010102 general mathematics Mathematics::Analysis of PDEs Probability density function Space (mathematics) 01 natural sciences Lévy process Measure (mathematics) 010104 statistics & probability Modeling and Simulation Uniqueness 0101 mathematics Mathematics |
| Zdroj: | Stochastics and Partial Differential Equations: Analysis and Computations. 5:472-519 |
| ISSN: | 2194-041X 2194-0401 |
| DOI: | 10.1007/s40072-017-0095-4 |
| Popis: | Elliptic and parabolic integro-differential model problems are considered in the whole space. By verifying Hormander condition, the existence and uniqueness is proved in \(L_{p}\)-spaces of functions whose regularity is defined by a scalable, possibly nonsymmetric, Levy measure. Some rough probability density function estimates of the associated Levy process are used as well. |
| Databáze: | OpenAIRE |
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