# Nonlinear Wave Equation with Vanishing Potential

Serdica Mathematical Journal (1999)

- Volume: 25, Issue: 1, page 71-82
- ISSN: 1310-6600

## Access Full Article

top## Abstract

top## How to cite

topLucente, 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 -

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.