The modified energy technique and applications (Q2024153)

scientific article; zbMATH DE number 7342979

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English	The modified energy technique and applications	scientific article; zbMATH DE number 7342979

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instance of

scholarly article

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title

The modified energy technique and applications (English)

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author

Nicola Visciglia

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published in

Bollettino dell'Unione Matematica Italiana

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publication date

3 May 2021

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zbMATH Keywords

nonlinear Schrödinger equation

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s40574-020-00230-z

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cites work

Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations

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Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation

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A remark on normal forms and the ``upside-down'' $I$-method for periodic NLS: growth of higher Sobolev norms

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Invariant measures and long time behaviour for the Benjamin-Ono equation. III

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Gibbs measures associated to the integrals of motion of the periodic derivative nonlinear Schrödinger equation

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Invariant measures for the periodic derivative nonlinear Schrödinger equation

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Scattering theory in the energy space for a class of nonlinear Schrödinger equations

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Quadratic Morawetz inequalities and asymptotic completeness in the energy space for nonlinear Schrödinger and Hartree equations

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MODIFIED SCATTERING FOR THE CUBIC SCHRÖDINGER EQUATION ON PRODUCT SPACES AND APPLICATIONS

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On the fifth-order KdV equation: Local well-posedness and lack of uniform continuity of the solution map

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Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case

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Well-posedness for the fifth-order KdV equation in the energy space

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A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces

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Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS

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Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2

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An optimal regularity result on the quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation

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Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation

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Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation

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Quasi-invariant Gaussian measures for the cubic nonlinear Schrödinger equation with third-order dispersion

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An improvement on the Brézis-Gallouët technique for 2D NLS and 1D half-wave equation

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On the growth of Sobolev norms for NLS on 2- and 3-dimensional manifolds

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Transport of Gaussian measures by the flow of the nonlinear Schrödinger equation

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Bilinear virial identities and applications

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Standing ring blow up solutions to the $N$-dimensional quintic nonlinear Schrödinger equation

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Bounds on the growth of high Sobolev norms of solutions to nonlinear Schroedinger equations on $\mathbb{R}$

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Bounds on the growth of high Sobolev norms of solutions to nonlinear Schrödinger equations on $S^1$.

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Bounds on the growth of high Sobolev norms of solutions to 2D Hartree equations

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On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations

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On smooth solutions to the initial-boundary value problem for the nonlinear schrödinger equation in two space dimensions

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QUASIINVARIANT GAUSSIAN MEASURES FOR ONE-DIMENSIONAL HAMILTONIAN PARTIAL DIFFERENTIAL EQUATIONS

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Invariant measures and long-time behavior for the Benjamin-Ono equation

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Invariant measures and long time behaviour for the Benjamin-Ono equation. II.

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On the decay of solutions to a class of defocusing NLS

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The growth in time of higher Sobolev norms of solutions to Schrödinger equations on compact Riemannian manifolds

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Korteweg-de Vries and nonlinear Schrödinger equations: qualitative theory

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Identifiers

zbMATH Open document ID

1467.35304

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Mathematics Subject Classification ID

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10.1007/S40574-020-00230-Z

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Sitelinks

Mathematics(1 entry)

mardi Publication:2024153