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More self-similar solutions of the nonlinear Schrödinger equation

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Publication:1265571
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DOI10.1007/s000300050050zbMath0990.35121OpenAlexW2002702283MaRDI QIDQ1265571

Thierry Cazenave, Fred B. Weissler

Publication date: 12 February 2002

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000300050050

zbMATH Keywords

regularityexistenceself-similar solutionspower nonlinearity


Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Continuation and prolongation of solutions to PDEs (35B60)


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Different asymptotic behavior of global solutions for a parabolic system with nonlinear gradient terms, Nonexistence of self-similar blowup for the nonlinear Dirac equations in \((1+1)\) dimensions, A NOTE ON THE NONLINEAR SCHRÖDINGER EQUATION IN WEAK LpSPACES, The self-similar solution to some nonlinear integro-differential equations corresponding to fractional order time derivative, Global solutions and self‐similar solutions for coupled nonlinear Schrödinger equations, Regular and self-similar solutions of nonlinear Schrödinger equations, On the two-power nonlinear Schrödinger equation with non-local terms in Sobolev-Lorentz spaces



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