Finite time blow-up for some nonlinear evolution equations
From MaRDI portal
Publication:2301174
DOI10.1007/S40324-019-00202-0zbMath1431.35069OpenAlexW2971503719WikidataQ127308372 ScholiaQ127308372MaRDI QIDQ2301174
Publication date: 28 February 2020
Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40324-019-00202-0
Nonlinear parabolic equations (35K55) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44)
Cites Work
- Unnamed Item
- A blowing up wave equation with exponential type nonlinearity and arbitrary positive energy
- Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
- Existence and uniqueness of weak solutions for a fourth-order nonlinear parabolic equation
- Strichartz type estimates for fractional heat equations
- Saddle points and instability of nonlinear hyperbolic equations
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Global well-posedness of some high-order semilinear wave and Schrödinger type equations with exponential nonlinearity
- A note on the critical nonlinear high-order Schrödinger equation
- Well- and Ill-posedness Issues for a Class of 2D Wave Equation with Exponential Growth
- Global Well-Posedness and Finite-Time Blow-Up of Some Heat-Type Equations
- A sufficient condition for finite time blow up of the nonlinear Klein-Gordon equations with arbitrarily positive initial energy
- Global well-posedness and linearization of a semilinear 2D wave equation with exponential type nonlinearity
- Spatial patterns. Higher order models in physics and mechanics
- Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.
This page was built for publication: Finite time blow-up for some nonlinear evolution equations