On -estimates for the time dependent Schrödinger operator on .

Mortad, Mohammed Hichem

Displaying similar documents to “On $L^{p}$ -estimates for the time dependent Schrödinger operator on $L^{2}$ .”

Decay for travelling waves in the Gross–Pitaevskii equation

Philippe Gravejat (2004)

Annales de l'I.H.P. Analyse non linéaire

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Modulation space estimates for Schrödinger type equations with time-dependent potentials

Wei Wei (2014)

Czechoslovak Mathematical Journal

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We give a new representation of solutions to a class of time-dependent Schrödinger type equations via the short-time Fourier transform and the method of characteristics. Moreover, we also establish some novel estimates for oscillatory integrals which are associated with the fractional power of negative Laplacian ${(- Δ)}^{κ / 2}$ with $1 \leq κ \leq 2$ . Consequently the classical Hamiltonian corresponding to the previous Schrödinger type equations is studied. As applications, a series of new boundedness results for...

Beurling-Hörmander uncertainty principle for the spherical mean operator.

Msehli, N., Rachdi, L.T. (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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Existence of positive solutions for some polyharmonic nonlinear equations in $ℝ^{n}$ .

Mâagli, Habib, Zribi, Malek (2006)

Abstract and Applied Analysis

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About steady transport equation. II: Schauder estimates in domains with smooth boundaries.

Novotny, Antonin (1997)

Portugaliae Mathematica

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Characterization of rearrangement invariant spaces with fixed points for the Hardy-Littlewood maximal operator.

Martín, Joaquim, Soria, Javier (2006)

Annales Academiae Scientiarum Fennicae. Mathematica

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A note on the Cahn-Hilliard equation in $H^{1} (ℝ^{N})$ involving critical exponent

Jan W. Cholewa, Aníbal Rodríguez-Bernal (2014)

Mathematica Bohemica

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We consider the Cahn-Hilliard equation in $H^{1} (ℝ^{N})$ with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as $| u | \to \infty$ and logistic type nonlinearities. In both situations we prove the $H^{2} (ℝ^{N})$ -bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J. W. Cholewa, A. Rodriguez-Bernal (2012).

Spherical harmonics and maximal estimates for the Schrödinger equation.

Sjölin, Per (2005)

Annales Academiae Scientiarum Fennicae. Mathematica

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Displaying similar documents to “On L p -estimates for the time dependent Schrödinger operator on L 2 .”

Displaying similar documents to “On $L^{p}$ -estimates for the time dependent Schrödinger operator on $L^{2}$ .”