Nonlinear Wave Equation with Vanishing Potential

Lucente, Sandra. "Nonlinear Wave Equation with Vanishing Potential." Serdica Mathematical Journal 25.1 (1999): 71-82. <http://eudml.org/doc/11505>.

@article{Lucente1999,
abstract = {We study the Cauchy problem for utt − ∆u + V (x)u^5 = 0 in 3–dimensional case. The function V (x) is positive and regular, in particular we are interested in the case V (x) = 0 in some points. We look for the global classical solution of this equation under a suitable hypothesis on the initial energy.},
author = {Lucente, Sandra},
journal = {Serdica Mathematical Journal},
keywords = {Nonlinear Wave Equation; Large Data; small initial energy; Cauchy problem; global existence},
language = {eng},
number = {1},
pages = {71-82},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Nonlinear Wave Equation with Vanishing Potential},
url = {http://eudml.org/doc/11505},
volume = {25},
year = {1999},
}

TY - JOUR
AU - Lucente, Sandra
TI - Nonlinear Wave Equation with Vanishing Potential
JO - Serdica Mathematical Journal
PY - 1999
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 25
IS - 1
SP - 71
EP - 82
AB - We study the Cauchy problem for utt − ∆u + V (x)u^5 = 0 in 3–dimensional case. The function V (x) is positive and regular, in particular we are interested in the case V (x) = 0 in some points. We look for the global classical solution of this equation under a suitable hypothesis on the initial energy.
LA - eng
KW - Nonlinear Wave Equation; Large Data; small initial energy; Cauchy problem; global existence
UR - http://eudml.org/doc/11505
ER -