Sergo Kharibegashvili

The Existence of Solutions of One Nonlocal in Time Problem for Multidimensional Wave Equations with Power Nonlinearity

abstract:
For multidimensional wave equations with power nonlinearity we investigate the question on the existence of solutions in a nonlocal in time problem whose particular case is a periodic case.

Mathematics Subject Classification: 35L05, 35L20, 35L71

Key words and phrases: Nonlocal in time conditions, multidimensional wave equations, power nonlinearity