Generic IllPosedness for Wave Equation of Power Type on Three-Dimensional Torus
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DOI: 10.1093/imrn/rnaa068
Abstract: In the present work, we show that the wave equation in three-dimensional torus of power-type nonlinearity is ill posed around any (relatively) regular dynamics in the super-critical regime. In the cubic case, we can even… read more here.
Keywords: three dimensional; dimensional torus; wave equation; power type ... See more keywords
Nonexistence of global solutions to Klein-Gordon equations with variable coefficients power-type nonlinearities
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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