Blow-up profile for the complex-valued semilinear wave equation (Q5251616)

scientific article; zbMATH DE number 6437881

Language	Label	Description	Also known as
English	Blow-up profile for the complex-valued semilinear wave equation	scientific article; zbMATH DE number 6437881

Statements

instance of

scholarly article

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title

Blow-up profile for the complex-valued semilinear wave equation (English)

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zbMATH Open document ID

1316.35200

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DOI

10.1090/S0002-9947-2014-06370-8

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author

Asma Azaiez

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published in

Transactions of the American Mathematical Society

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publication date

20 May 2015

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full work available at URL

https://arxiv.org/abs/1306.4837

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Mathematics Subject Classification ID

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modulation technique

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one space dimension

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self-similar variables

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MaRDI profile type

MaRDI publication profile

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arXiv ID

1306.4837

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cites work

Blowup for nonlinear hyperbolic equations

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Q2770885

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Construction of a Multisoliton Blowup Solution to the Semilinear Wave Equation in One Space Dimension

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Exotic blowup solutions for the \(u^5\) focusing wave equation in \(\mathbb{R}^{3}\)

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Stable blow up dynamics for energy supercritical wave equations

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Universality of blow-up profile for small radial type II blow-up solutions of the energy-critical wave equation

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Profiles of bounded radial solutions of the focusing, energy-critical wave equation

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Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case

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Classification of the radial solutions of the focusing, energy-critical wave equation

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Dynamics of Threshold Solutions for Energy-Critical Wave Equation

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Modulation theory for the blowup of vector-valued nonlinear heat equations

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Regularity of solutions of critical and subcritical nonlinear wave equations

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Blow-up behavior for the Klein-Gordon and other perturbed semilinear wave equations

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Scattering threshold for the focusing nonlinear Klein-Gordon equation

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Threshold solutions in the case of mass-shift for the critical Klein-Gordon equation

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Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation

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Radial solutions to energy supercritical wave equations in odd dimensions

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Blow-up Surfaces for Nonlinear Wave Equations, I

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Blowup behaviour for the nonlinear Klein-Gordon equation

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On the focusing critical semi-linear wave equation

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Global dynamics away from the ground state for the energy-critical nonlinear wave equation

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Global dynamics of the nonradial energy-critical wave equation above the ground state energy

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Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)

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On existence and scattering with minimal regularity for semilinear wave equations

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Determination of the blow-up rate for the semilinear wave equation

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Determination of the blow-up rate for a critical semilinear wave equation

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Q5461878

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Existence and universality of the blow-up profile for the semilinear wave equation in one space dimension

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Openness of the set of non-characteristic points and regularity of the blow-up curve for the 1 D semilinear wave equation

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Blow-up behavior outside the origin for a semilinear wave equation in the radial case

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Existence and classification of characteristic points at blow-up for a semilinear wave equation in one space dimension

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Isolatedness of characteristic points at blowup for a 1-dimensional semilinear wave equation

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Dynamics near explicit stationary solutions in similarity variables for solutions of a semilinear wave equation in higher dimensions

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On the stability of the notion of non-characteristic point and blow-up profile for semilinear wave equations

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Invariant manifolds and dispersive Hamiltonian evolution equations

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Q2761436

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Mathematics(1 entry)

mardi Publication:5251616