Semilinear Cauchy Problems with Almost Sectorial Operators

Tomasz Dlotko. "Semilinear Cauchy Problems with Almost Sectorial Operators." Bulletin of the Polish Academy of Sciences. Mathematics 55.4 (2007): 333-346. <http://eudml.org/doc/281185>.

@article{TomaszDlotko2007,
abstract = {Existence of a mild solution to a semilinear Cauchy problem with an almost sectorial operator is studied. Under additional regularity assumptions on the nonlinearity and initial data we also prove the existence of a classical solution to this problem. An example of a parabolic problem in Hölder spaces illustrates the abstract result.},
author = {Tomasz Dlotko},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {integrated semigroup; mild solution; classical solution; Hölder spaces},
language = {eng},
number = {4},
pages = {333-346},
title = {Semilinear Cauchy Problems with Almost Sectorial Operators},
url = {http://eudml.org/doc/281185},
volume = {55},
year = {2007},
}

TY - JOUR
AU - Tomasz Dlotko
TI - Semilinear Cauchy Problems with Almost Sectorial Operators
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2007
VL - 55
IS - 4
SP - 333
EP - 346
AB - Existence of a mild solution to a semilinear Cauchy problem with an almost sectorial operator is studied. Under additional regularity assumptions on the nonlinearity and initial data we also prove the existence of a classical solution to this problem. An example of a parabolic problem in Hölder spaces illustrates the abstract result.
LA - eng
KW - integrated semigroup; mild solution; classical solution; Hölder spaces
UR - http://eudml.org/doc/281185
ER -