A note on space–time Hölder regularity of mild solutions to stochastic cauchy problems in Lp-spaces

This paper revisits the Hölder regularity of mild solutions of parabolic stochastic Cauchy problems in Lebesgue spaces Lp(O), with p ? 2 and O ? ?d a bounded domain. We find conditions on p,? and ? under which the mild solution has almost surely trajectories in C?([0,T ]; C? (?). These conditions do...

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Autores:
Tipo de recurso:
Fecha de publicación:
2015
Institución:
Universidad del Rosario
Repositorio:
Repositorio EdocUR - U. Rosario
Idioma:
eng
OAI Identifier:
oai:repository.urosario.edu.co:10336/23607
Acceso en línea:
https://doi.org/10.1214/14-BJPS245
https://repository.urosario.edu.co/handle/10336/23607
Palabra clave:
Additive cylindrical noise
Hölder regularity
Lebesgue spaces
Stochastic cauchy problem
Stochastic convolution
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