Small data blow-up of \(L^2\)-solution for the nonlinear Schrödinger equation without gauge invariance.
From MaRDI portal
Publication:475148
zbMath1313.35324arXiv1111.0178MaRDI QIDQ475148
Publication date: 25 November 2014
Published in: Differential and Integral Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.0178
Related Items (40)
Blowup and ill-posedness results for a Dirac equation without gauge invariance ⋮ First and second critical exponents for an inhomogeneous Schrödinger equation with combined nonlinearities ⋮ The nonexistence of global solutions for a time fractional nonlinear Schrödinger equation without gauge invariance ⋮ Blowup results for the fractional Schrödinger equation without gauge invariance ⋮ Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method ⋮ Note on the lifespan estimate of solutions for non-gauge invariant semilinear massless semirelativistic equations with some scaling critical nonlinearity ⋮ Lifespan of strong solutions to the periodic nonlinear Schrödinger equation without gauge invariance ⋮ On the critical exponent and sharp lifespan estimates for semilinear damped wave equations with data from Sobolev spaces of negative order ⋮ On the new critical exponent for the nonlinear Schrödinger equations ⋮ On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities ⋮ Nonexistence of solutions of higher-order nonlinear non-Gauge Schrödinger equation ⋮ Blow-up and lifespan estimates for solutions to the weakly coupled system of nonlinear damped wave equations outside a ball ⋮ On the absence of global solutions for quantum versions of Schrödinger equations and systems ⋮ Sharp lifespan estimates for the weakly coupled system of semilinear damped wave equations in the critical case ⋮ On the Cauchy problem of the nonlinear Schrödinger equation without gauge invariance ⋮ Asymptotic behavior for a class of derivative nonlinear Schrödinger systems ⋮ On the nonrelativistic limit of a semilinear field equation in a homogeneous and isotropic space ⋮ Global existence and decay in multi-component reaction-diffusion-advection systems with different velocities: oscillations in time and frequency ⋮ Notes on global existence for the nonlinear Schrödinger equation involves derivative ⋮ Remark on local solvability of the Cauchy problem for semirelativistic equations ⋮ Blow-up for the pointwise NLS in dimension two: absence of critical power ⋮ On the existence and nonexistence of global solutions for certain semilinear exterior problems with nontrivial Robin boundary conditions ⋮ Blow-up of solutions for semilinear fractional Schrödinger equations ⋮ Small data global existence for a class of quadratic derivative nonlinear Schrödinger systems in two space dimensions ⋮ Blow-up phenomena of semilinear wave equations and their weakly coupled systems ⋮ Some non-existence results for the semilinear Schrödinger equation without gauge invariance ⋮ Final state problem for a quadratic nonlinear Schrödinger system in two space dimensions with mass resonance ⋮ Some nonexistence results for a semirelativistic Schrödinger equation with nongauge power type nonlinearity ⋮ On the critical exponent for nonlinear Schrödinger equations without gauge invariance in exterior domains ⋮ Remark on upper bound for lifespan of solutions to semilinear evolution equations in a two-dimensional exterior domain ⋮ Small data blow-up of \(L^2\) or \(H^1\)-solution for the semilinear Schrödinger equation without gauge invariance ⋮ Finite time blowup of solutions to the nonlinear Schrödinger equation without gauge invariance ⋮ Lifespan estimates of 1D non-gauge invariant semilinear semirelativistic equations ⋮ On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases ⋮ Global dynamics in nonconservative nonlinear Schrödinger equations ⋮ On Nonlinear Schrödinger Equations with Almost Periodic Initial Data ⋮ Lifespan of Solutions to Nonlinear Schrödinger Equations with General Homogeneous Nonlinearity of the Critical Order ⋮ Probabilistic Cauchy theory for the mass-critical fourth-order nonlinear Schrödinger equation ⋮ Some nonexistence results for space-time fractional Schrödinger equations without gauge invariance ⋮ On nonlinear Schrödinger equations derived from the nonrelativistic limit of nonlinear Klein-Gordon equations in de Sitter spacetime
This page was built for publication: Small data blow-up of \(L^2\)-solution for the nonlinear Schrödinger equation without gauge invariance.