Nonhomogeneous boundary value problem for a semilinear hyperbolic equation

Andrzej Nowakowski. "Nonhomogeneous boundary value problem for a semilinear hyperbolic equation." Applicationes Mathematicae 35.1 (2008): 81-95. <http://eudml.org/doc/279912>.

@article{AndrzejNowakowski2008,
abstract = {We discuss the solvability of a nonhomogeneous boundary value problem for the semilinear equation of the vibrating string $x_\{tt\}(t,y) - Δx(t,y) + f(t,y,x(t,y)) = 0$ in a bounded domain and with a certain type of superlinear nonlinearity. To this end we derive a new dual variational method.},
author = {Andrzej Nowakowski},
journal = {Applicationes Mathematicae},
keywords = {dual variational method; superlinear nonlinearity},
language = {eng},
number = {1},
pages = {81-95},
title = {Nonhomogeneous boundary value problem for a semilinear hyperbolic equation},
url = {http://eudml.org/doc/279912},
volume = {35},
year = {2008},
}

TY - JOUR
AU - Andrzej Nowakowski
TI - Nonhomogeneous boundary value problem for a semilinear hyperbolic equation
JO - Applicationes Mathematicae
PY - 2008
VL - 35
IS - 1
SP - 81
EP - 95
AB - We discuss the solvability of a nonhomogeneous boundary value problem for the semilinear equation of the vibrating string $x_{tt}(t,y) - Δx(t,y) + f(t,y,x(t,y)) = 0$ in a bounded domain and with a certain type of superlinear nonlinearity. To this end we derive a new dual variational method.
LA - eng
KW - dual variational method; superlinear nonlinearity
UR - http://eudml.org/doc/279912
ER -