Summability of formal solutions for some generalized moment partial differential equations
The concept of moment differentiation is extended to the class of moment summable functions, giving rise to moment differential properties. The main result leans on accurate upper estimates for the integral representation of the moment derivatives of functions under exponential-like growth at infini...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Alcalá (UAH) |
| Repositorio: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Idioma: | inglés |
| OAI Identifier: | oai:ebuah.uah.es:10017/49331 |
| Acceso en línea: | http://hdl.handle.net/10017/49331 https://dx.doi.org/10.1007/s00025-020-01324-y |
| Access Level: | acceso abierto |
| Palabra clave: | Summability Formal solution Moment estimates Moment derivatives Moment partial differential equations Matemáticas Mathematics |
| Sumario: | The concept of moment differentiation is extended to the class of moment summable functions, giving rise to moment differential properties. The main result leans on accurate upper estimates for the integral representation of the moment derivatives of functions under exponential-like growth at infinity, and appropriate deformation of the integration paths. The theory is applied to obtain summability results of certain family of generalized linear moment partial differential equations with variable coefficients. |
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