Solutions to some nonlinear PDE's in the form of Laplace type integrals
Annales Polonici Mathematici (2002)
- Volume: 79, Issue: 1, page 45-62
- ISSN: 0066-2216
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topMaria E. Pliś. "Solutions to some nonlinear PDE's in the form of Laplace type integrals." Annales Polonici Mathematici 79.1 (2002): 45-62. <http://eudml.org/doc/280611>.
@article{MariaE2002,
abstract = {A nonlinear equation $P(D)u = αu^\{m\}$ in 2 variables is considered. A formal solution as a series of Laplace integrals is constructed. It is shown that assuming some properties of Char P, one gets the Gevrey class of such solutions. In some cases convergence “at infinity” is proved.},
author = {Maria E. Pliś},
journal = {Annales Polonici Mathematici},
keywords = {Laplace distributions; convolution equations; Gevrey classes},
language = {eng},
number = {1},
pages = {45-62},
title = {Solutions to some nonlinear PDE's in the form of Laplace type integrals},
url = {http://eudml.org/doc/280611},
volume = {79},
year = {2002},
}
TY - JOUR
AU - Maria E. Pliś
TI - Solutions to some nonlinear PDE's in the form of Laplace type integrals
JO - Annales Polonici Mathematici
PY - 2002
VL - 79
IS - 1
SP - 45
EP - 62
AB - A nonlinear equation $P(D)u = αu^{m}$ in 2 variables is considered. A formal solution as a series of Laplace integrals is constructed. It is shown that assuming some properties of Char P, one gets the Gevrey class of such solutions. In some cases convergence “at infinity” is proved.
LA - eng
KW - Laplace distributions; convolution equations; Gevrey classes
UR - http://eudml.org/doc/280611
ER -
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