Abstract parabolic problems with non-Lipschitz critical nonlinearities
Colloquium Mathematicae (2010)
- Volume: 121, Issue: 2, page 203-223
- ISSN: 0010-1354
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topKonrad J. Wąs. "Abstract parabolic problems with non-Lipschitz critical nonlinearities." Colloquium Mathematicae 121.2 (2010): 203-223. <http://eudml.org/doc/284315>.
@article{KonradJ2010,
abstract = {The Cauchy problem for a semilinear abstract parabolic equation is considered in a fractional power scale associated with a sectorial operator appearing in the linear main part of the equation. Existence of local solutions is proved for non-Lipschitz nonlinearities satisfying a certain critical growth condition.},
author = {Konrad J. Wąs},
journal = {Colloquium Mathematicae},
keywords = {semilinear abstract parabolic equation; Cauchy problem; existence of local solutions},
language = {eng},
number = {2},
pages = {203-223},
title = {Abstract parabolic problems with non-Lipschitz critical nonlinearities},
url = {http://eudml.org/doc/284315},
volume = {121},
year = {2010},
}
TY - JOUR
AU - Konrad J. Wąs
TI - Abstract parabolic problems with non-Lipschitz critical nonlinearities
JO - Colloquium Mathematicae
PY - 2010
VL - 121
IS - 2
SP - 203
EP - 223
AB - The Cauchy problem for a semilinear abstract parabolic equation is considered in a fractional power scale associated with a sectorial operator appearing in the linear main part of the equation. Existence of local solutions is proved for non-Lipschitz nonlinearities satisfying a certain critical growth condition.
LA - eng
KW - semilinear abstract parabolic equation; Cauchy problem; existence of local solutions
UR - http://eudml.org/doc/284315
ER -
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