Existence of blow-up solutions in the energy space for the critical generalized KdV equation

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DOI10.1090/S0894-0347-01-00369-1zbMath0970.35128OpenAlexW1549114415MaRDI QIDQ2719031

Frank Merle

Publication date: 14 May 2001

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0894-0347-01-00369-1

zbMATH Keywords

critical nonlinear Schrödinger equation critical generalized KdV equation existence of blow-up solutions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45)

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