Abstract
We consider the Zakharov equation in space dimension two
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In the first part of the paper, we consider blow-up solutions of this equation. We prove various concentration properties of these solutions: existence, characterization of concentration mass, non existence of minimal concentration mass.
In the second part, we prove instability of periodic solutions.
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Communicated by T. Spencer
This work was partially done while the second author was visiting Rutgers University and Courant Institute
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Glangetas, L., Merle, F. Concentration properties of blow-up solutions and instability results for Zakharov equation in dimension two. Part II. Commun.Math. Phys. 160, 349–389 (1994). https://doi.org/10.1007/BF02103281
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DOI: https://doi.org/10.1007/BF02103281