Threshold solutions in the case of mass-shift for the critical Klein-Gordon equation
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Publication:3190924
DOI10.1090/S0002-9947-2014-05852-2zbMath1302.35260arXiv1110.1709MaRDI QIDQ3190924
Kenji Nakanishi, Nader Masmoudi, Slim Ibrahim
Publication date: 19 September 2014
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.1709
Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Blow-up in context of PDEs (35B44)
Related Items (14)
Sharp threshold of global existence and blow-up of the combined nonlinear Klein-Gordon equation ⋮ On blow-up phenomenon of the solution to some wave-Hartree equation in \(d \geq 5\) ⋮ Focusing NLKG equation with singular potential ⋮ Global well-posedness and scattering of a generalized nonlinear fourth-order wave equation ⋮ Scattering for the quadratic Klein-Gordon equations ⋮ Scattering for the mass-critical nonlinear Klein-Gordon equations in three and higher dimensions ⋮ On threshold solutions of the equivariant Chern-Simons-Schrödinger equation ⋮ Global dynamics of solutions with group invariance for the nonlinear Schrödinger equation ⋮ Energy scattering for a Klein-Gordon equation with a cubic convolution ⋮ Scattering theory for energy-supercritical Klein-Gordon equation ⋮ Breaking symmetry in focusing nonlinear Klein-Gordon equations with potential ⋮ Blow-up profile for the complex-valued semilinear wave equation ⋮ Trudinger-Moser inequality on the whole plane with the exact growth condition ⋮ The blow-up rate for strongly perturbed semilinear wave equations in the conformal case
Cites Work
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- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Scattering theory in the energy space for a class of nonlinear wave equations
- Saddle points and instability of nonlinear hyperbolic equations
- Well- and ill-posedness issues for energy supercritical waves
- Scattering threshold for the focusing nonlinear Klein-Gordon equation
- Trudinger-Moser inequality on the whole plane with the exact growth condition
- Global solutions for a semilinear, two-dimensional Klein-Gordon equation with exponential-type nonlinearity
- Dynamics of Threshold Solutions for Energy-Critical Wave Equation
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