Time and space Sobolev regularity of solutions to homogeneous parabolic equations
- Volume: 9, Issue: 2, page 89-94
- ISSN: 1120-6330
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topDi Blasio, Gabriella. "Time and space Sobolev regularity of solutions to homogeneous parabolic equations." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 9.2 (1998): 89-94. <http://eudml.org/doc/252283>.
@article{DiBlasio1998,
abstract = {We give necessary and sufficient conditions on the initial data such that the solutions of parabolic equations have a prescribed Sobolev regularity in time and space.},
author = {Di Blasio, Gabriella},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Parabolic equations; Sobolev regularity; Interpolation spaces; second-order uniformly elliptic operator in divergence form; necessary and sufficient conditions on the initial function; real interpolation space},
language = {eng},
month = {6},
number = {2},
pages = {89-94},
publisher = {Accademia Nazionale dei Lincei},
title = {Time and space Sobolev regularity of solutions to homogeneous parabolic equations},
url = {http://eudml.org/doc/252283},
volume = {9},
year = {1998},
}
TY - JOUR
AU - Di Blasio, Gabriella
TI - Time and space Sobolev regularity of solutions to homogeneous parabolic equations
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1998/6//
PB - Accademia Nazionale dei Lincei
VL - 9
IS - 2
SP - 89
EP - 94
AB - We give necessary and sufficient conditions on the initial data such that the solutions of parabolic equations have a prescribed Sobolev regularity in time and space.
LA - eng
KW - Parabolic equations; Sobolev regularity; Interpolation spaces; second-order uniformly elliptic operator in divergence form; necessary and sufficient conditions on the initial function; real interpolation space
UR - http://eudml.org/doc/252283
ER -
References
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