\(H^2\) blowup result for a Schrödinger equation with nonlinear source term
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Publication:779894
DOI10.3934/ERA.2020039zbMath1446.35185OpenAlexW3010033546MaRDI QIDQ779894
Publication date: 14 July 2020
Published in: Electronic Research Archive (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/era.2020039
NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Related Items (4)
Local well-posedness and finite time blowup for fourth-order Schrödinger equation with complex coefficient ⋮ A nonlinear fractional problem with mixed Volterra-Fredholm integro-differential equation: existence, uniqueness, H-U-R stability, and regularity of solutions ⋮ On the well-posedness and stability for the fourth-order Schrödinger equation with nonlinear derivative term ⋮ Rigorous numerical inclusion of the blow-up time for the Fujita-type equation
Cites Work
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- Continuous dependence for NLS in fractional order spaces
- Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity
- Compact sets in the space \(L^ p(0,T;B)\)
- O. D. E. type behavior of blow-up solutions of nonlinear heat equations
- The radial mass-subcritical NLS in negative order Sobolev spaces
- Construction of a blow-up solution for the complex Ginzburg-Landau equation in a critical case
- Finite-time blowup for a Schrödinger equation with nonlinear source term
- Blowup for nonlinear hyperbolic equations
- Sharp conditions of global existence for nonlinear Schrödinger equation with a harmonic potential
- Solutions with prescribed local blow-up surface for the nonlinear wave equation
- Stable ODE-type blowup for some quasilinear wave equations with derivative-quadratic nonlinearities
- Solutions blowing up on any given compact set for the energy subcritical wave equation
- A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation
- On the stability of the notion of non-characteristic point and blow-up profile for semilinear wave equations
- Local well-posedness for the $H^2$-critical nonlinear Schrödinger equation
- A Multivariate Faa di Bruno Formula with Applications
- Asymptotic N -soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations
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