On the cubic evolution Schrödinger equation with a cubic dissipative term: \(iu_t+ i\beta|u|^2u= \Delta u+ \alpha|u|^2u\)

zbMath1127.35353MaRDI QIDQ2455144

Yanyan Li

Publication date: 22 October 2007

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

weak solutionasymptotic behaviorunbounded domainblow upglobal solvability

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Infinite-dimensional dissipative dynamical systems (37L99)

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Mixed problem for a cubic Schrödinger evolution equation with a cubic dissipative term

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