Construction of blow-up solutions for Zakharov system on T^2

Keywords

Dimension (graph theory), Space (punctuation), Mathematics, Boundary (topology), Mathematical analysis

References

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• Refined energy inequality with application to well-posedness for the fourth order nonlinear Schrödinger type equation on torusJun-ichi Segata — 2012
• The Cauchy problem for the critical nonlinear Schro¨dinger equation in H sThierry Cazenave, Fred B. Weissler — 1990
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• On the fifth order KdV equation: local well-posedness and lack of uniform continuity of the solution mapSoonsik Kwon — 2007
• Linear topological spacesD. H. Hyers — 1945
• On 2D Nonlinear Schrödinger Equations with Data on R×T☆Hideo Takaoka, N. Tzvetkov — 2001
• On universality of blow-up profile for L2 critical nonlinear Schrödinger equationFrank Merle, Pierre Raphaël — 2004
• Nonlinear wave collapse and strong turbulenceP. A. Robinson — 1997

Cited by

• Resonant decomposition and the I-method for the two-dimensional Zakharov systemNobu Kishimoto — 2012
• The fourth-order nonlinear Schrödinger limit for quantum Zakharov systemYung-Fu Fang, Chi-Kun Lin, Jun‐ichi Segata — 2016

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