A derivation theory for generalized Besicovitch spaces and its application for partial differential equations
| Autor: | Juan Casado-Díaz, Inmaculada Gayte |
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| Předmět: |
Stochastic partial differential equation
Discrete mathematics Pure mathematics General Mathematics Hypoelliptic operator First-order partial differential equation Hyperbolic partial differential equation Symbol of a differential operator Algebraic differential equation Numerical partial differential equations Separable partial differential equation Mathematics |
| Zdroj: | Scopus-Elsevier |
| Popis: | We present an extension of Besicovitch spaces, which has its origin in the works of Zhikov et al. and Kozlov and Oleinik. We show that these spaces have a similar behaviour to the Lp spaces, and we give a notion of derivative that allows us to treat partial differential problems in this frame. To the best of our knowledge, this is new, even for the usual Besicovitch spaces. |
| Databáze: | OpenAIRE |
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