Dynamics of complex singularities in 1D nonlinear parabolic PDE's

Zoran Grujić. "Dynamics of complex singularities in 1D nonlinear parabolic PDE's." Studia Mathematica 147.2 (2001): 183-195. <http://eudml.org/doc/285246>.

@article{ZoranGrujić2001,
abstract = {We establish local-in-time smoothing of a simple model nonlinear parabolic PDE in a scale of weighted Bergman spaces on a strip provided the weights are not too singular. This constitutes a very strong smoothing property since an immediate consequence is that the PDE can "push away" an algebraic-type complex singularity provided that the order of the singularity is small enough.},
author = {Zoran Grujić},
journal = {Studia Mathematica},
keywords = {Bergman spaces},
language = {eng},
number = {2},
pages = {183-195},
title = {Dynamics of complex singularities in 1D nonlinear parabolic PDE's},
url = {http://eudml.org/doc/285246},
volume = {147},
year = {2001},
}

TY - JOUR
AU - Zoran Grujić
TI - Dynamics of complex singularities in 1D nonlinear parabolic PDE's
JO - Studia Mathematica
PY - 2001
VL - 147
IS - 2
SP - 183
EP - 195
AB - We establish local-in-time smoothing of a simple model nonlinear parabolic PDE in a scale of weighted Bergman spaces on a strip provided the weights are not too singular. This constitutes a very strong smoothing property since an immediate consequence is that the PDE can "push away" an algebraic-type complex singularity provided that the order of the singularity is small enough.
LA - eng
KW - Bergman spaces
UR - http://eudml.org/doc/285246
ER -