A Nonclassical and Nonautonomous Diffusion Equation Containing Infinite Delays

Autor:	Antonio M. Márquez-Durán, Tomás Caraballo, Felipe Rivero
Rok vydání:	2016
Předmět:	Condensed Matter::Quantum Gases Diffusion equation 0103 physical sciences Mathematical analysis Mathematics::Analysis of PDEs 010307 mathematical physics Pullback attractor Uniqueness 01 natural sciences 010305 fluids & plasmas Mathematics
Zdroj:	Springer Proceedings in Mathematics & Statistics ISBN: 9783319328553
Popis:	We first study the well-posedness of a nonclassical and nonautonomous diffusion equation containing unbounded delays. Then, we prove the existence and uniqueness of local solutions, and finally we prove the global in time existence of solutions as well as the continuous dependence on the initial values.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6b0f5e946355b80bacffbddff11bb745 https://doi.org/10.1007/978-3-319-32857-7_36 Zobrazit plný text záznamu