scientific article; zbMATH DE number 6860670
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Publication:4636924
zbMath1391.35080MaRDI QIDQ4636924
Yuxuan Chen, Shaohua Chen, Tao Yu, Ji-Hong Shen, Zhengsheng Xu, Yanbing Yang, Run-Zhang Xu
Publication date: 17 April 2018
Full work available at URL: https://ejde.math.txstate.edu/Volumes/2018/55/abstr.html#latest
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Second-order semilinear hyperbolic equations (35L71)
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Cites Work
- Instability of positive periodic solutions for semilinear pseudo-parabolic equations with logarithmic nonlinearity
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
- Some new results on global nonexistence for abstract evolution with positive initial energy
- Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
- Saddle points and instability of nonlinear hyperbolic equations
- On a class of nonlinear Schrödinger equations. II. Scattering theory, general case
- Global nonexistence for abstract evolution equations with positive initial energy
- On potential wells and applications to semilinear hyperbolic equations and parabolic equations
- On global solution of nonlinear hyperbolic equations
- Wave equations and reaction-diffusion equations with several nonlinear source terms of different sign
- Blow-up in a semilinear parabolic problem with variable source under positive initial energy
- A sufficient condition for finite time blow up of the nonlinear Klein-Gordon equations with arbitrarily positive initial energy
- Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4
- Initial boundary value problem for semilinear hyperbolic equations and parabolic equations with critical initial data
- On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
- Vacuum isolating, blow up threshold, and asymptotic behavior of solutions for a nonlocal parabolic equation
- The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities