Open AccessExponential growth of positive initial energy solutions for coupled nonlinear Klein-Gordon equations with degenerate damping and source terms
Author(s) -
Amar Ouaoua,
Messouad Maouni
Publication year - 2022
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.47042
Subject(s) - degenerate energy levels , exponential growth , klein–gordon equation , nonlinear system , exponential function , mathematical analysis , energy (signal processing) , mathematics , physics , mathematical physics , quantum mechanics
In this paper we will prove that the positive initial-energy solution for coupled nonlinear Klein-Gordon equations with degenerate damping and source terms grows exponentially.