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Gyakori szavak és kifejezésekanalysis apriori bound argument Assume behaviour blowup solution bumpfunction Cauchy problem conjecture conserved quantity Consider the IVP construction context corresponding cubic NLS cubic nonlinearity Define defocusing Denote depending derivative Dirichlet Dirichlet boundary conditions discussion dyadic equation iut finite fixed flow flowmap focusing follows frequencies FVom G. A. Bliss Gaussian global wellposedness Hamiltonian Hence higher dimension Holder,s inequality implies infinite dimensional integral equation interpolation interval invariant Gibbs measures invariant measures Kakeya sets L2-norm Lemma linear group moreover NLS iut nonlinear Schrodinger equation norm Observe obtained parameter particular periodic boundary conditions periodic solutions perturbative phase space preceding proof properties PROPOSITION prove pseudo-conformal quasi-periodic radial Recall Remark replaced resp restriction result satisfying scale invariant sequence small data smooth Sobolev sufficiently small supp symplectic Hilbert space term Theorem theory tori transformation wave equation wellposed Wick ordered Write yields Hivatkozások erre a könyvreMás könyvekből
A Google TudósbólOn universality of blow-up profile for L 2 critical nonlinear ...Frank Merle, Pierre Raphael - 2004 - Inventiones Mathematicae Sharp upper bound on the blow-up rate for the critical nonlinear ...Frank Merle, Pierre Raphael - 2003 - Geometric And Functional Analysis On Schrodinger MapsA NAHMOD, A STEFANOV, K UHLENBECK - 2001 - Arxiv preprint math.AP/0104125 Global Existence And Scattering For Rough Solutions Of A Nonlinear ...J COLLIANDER, M KEEL, G STAFFILANI, H TAKAOKA, T TAO - 2004 - Arxiv preprint math.AP/0301260 Hivatkozások weboldalakrólUK Nonlinear News 17: Publishers' Announcements Bulletin of the American Mathematical Society Burq, Gérard, Tzvetkov: On nonlinear Schrödinger equations in ... Burq, Gérard, Tzvetkov: The Schrödinger equation on a compact ... Global solutions of nonlinear Schrödinger equations. - / 1999 - Livros B-IFIN 81597 BARNETT, Stephen M. ; Radmore, Paul M. Methods in ... The AMS Annual Publisher's Discount Sale, Volume 51, Numberr 9 Global Existence and Scattering for Rough Solutions of a Nonlinear ... SLAC Research Library | Community Pages livre global solutions of nonlinear schrodinger equations ... Bibliográfiai információk |