Blow-up of solutions for the fourth-order Schrödinger equation with combined power-type nonlinearities (Q6611173)

scientific article; zbMATH DE number 7919161

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English	Blow-up of solutions for the fourth-order Schrödinger equation with combined power-type nonlinearities	scientific article; zbMATH DE number 7919161

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title

Blow-up of solutions for the fourth-order Schrödinger equation with combined power-type nonlinearities (English)

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The Journal of Geometric Analysis

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publication date

26 September 2024

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zbMATH Keywords

fourth-order Schrödinger equation with combined power-type nonlinearities

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well-posedness

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blow-up

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Morawetz estimates

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MaRDI profile type

Publication

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cites work

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Sharp threshold of blow-up and scattering for the fractional Hartree equation

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Remarks on the Blowup for the $L^2$‐Critical Nonlinear Schrödinger Equations

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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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Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term

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The existence and stability of normalized solutions for a bi-harmonic nonlinear Schrödinger equation with mixed dispersion

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The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation

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Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case

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Blow-Up of H 1 Solutions for the One-Dimensional Nonlinear Schrodinger Equations with Critical Power Nonlinearity

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The cubic fourth-order Schrödinger equation

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Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4

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Instability of standing waves for a class of nonlinear Schrödinger equations

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The nonlinear Schrödinger equation. Self-focusing and wave collapse

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The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities

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Identifiers

DOI

10.1007/s12220-024-01747-x

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6611173