Nonexistence of global solutions to Klein-Gordon equations with variable coefficients power-type nonlinearities
Sign Up to like & getrecommendations! Published in 2023 at "Open Mathematics"
DOI: 10.1515/math-2022-0584
Abstract: Abstract In this article, we investigate the Cauchy problem for Klein-Gordon equations with combined power-type nonlinearities. Coefficients in the nonlinearities depend on the space variable. They are sign preserving functions except one of the coefficients,… read more here.
Keywords: nonexistence global; klein gordon; power type; gordon equations ... See more keywords
Blow Up of Solutions to Wave Equations with Combined Logarithmic and Power-Type Nonlinearities
Sign Up to like & getrecommendations! Published in 2024 at "Axioms"
DOI: 10.3390/axioms13100709
Abstract: In this paper, we study the initial boundary value problem for wave equations with combined logarithmic and power-type nonlinearities. For arbitrary initial energy, we prove a necessary and sufficient condition for blow up at infinity… read more here.
Keywords: power type; logarithmic power; wave equations; type nonlinearities ... See more keywords