TY - JOUR
ID - 65161
T1 - Solvability of Nonlinear Goursat Type Problem for Hyperbolic Equation with Integral Condition
JO - Khayyam Journal of Mathematics
JA - KJM
LA - en
SN -
A1 - Oussaeif, Taki Eddine
A1 - Bouziani, Abdelfatah
Y1 - 2018
PY - 2018/07/01
VL - 4
IS - 2
SP - 198
EP - 213
KW - Energy inequality
KW - Goursat equation
KW - nonlinear hyperbolic problems
KW - integral condition
KW - a priori estimate
DO - 10.22034/kjm.2018.65161
N2 - This paper is concerned with the existence and uniqueness of a strong solution for linear problem by using a functional analysis method, which is based on an energy inequality and the density of the range of the operator generated by the problem. Applying an iterative process based on results obtained from the linear problem, we prove the existence anduniqueness of the weak generalized solution of nonlinear hyperbolic Goursat problem with integral condition.
UR - http://www.kjm-math.org/article_65161.html
L1 - http://www.kjm-math.org/pdf_65161_8fed2a0e71a8af7d76b734e82401f3b2.html
ER -