Limiting behavior of blow-up solutions for the cubic nonlinear beam equation
From MaRDI portal
Publication:2126493
DOI10.1186/s13661-018-1089-5zbMath1499.35188OpenAlexW2900254512WikidataQ128911391 ScholiaQ128911391MaRDI QIDQ2126493
Publication date: 19 April 2022
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-018-1089-5
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear higher-order PDEs (35G20) PDEs in connection with quantum mechanics (35Q40)
Related Items
Exact thresholds for global existence to the nonlinear beam equations with and without a damping ⋮ Sharp criteria of blow-up for the energy-critical nonlinear wave equation with a damping term ⋮ Sharp criteria of blow-up solutions for the cubic nonlinear beam equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the blow-up solutions for the nonlinear fractional Schrödinger equation
- Blow-up of solutions to cubic nonlinear Schrödinger equations with defect: the radial case
- Limit behavior of blow-up solutions for critical nonlinear Schrödinger equation with harmonic potential.
- Biharmonic nonlinear Schrödinger equation and the profile decomposition
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Limiting profile of the blow-up solutions for the fourth-order nonlinear Schrödinger equation
- Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case
- Best constant in Sobolev inequality
- Stability and instability of fourth-order solitary waves
- Limiting profiles of blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity
- Time decay for the nonlinear beam equation
- On the blow-up solutions for the fractional nonlinear Schrödinger equation with combined power-type nonlinearities
- Stability of standing waves for the nonlinear fractional Schrödinger equation
- Sharp threshold of blow-up and scattering for the fractional Hartree equation
- Existence of stable standing waves for the fractional Schrödinger equations with combined nonlinearities
- Stability of standing waves for the fractional Schrödinger-Hartree equation
- Existence of solutions for a critical fractional Kirchhoff type problem in \(\mathbb{R}^N\)
- Indirect boundary integral equation method for the Cauchy problem of the Laplace equation
- Stability of standing waves for the fractional Schrödinger-Choquard equation
- On the blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities
- Limiting behavior of blow-up solutions of the NLSE with a Stark potential
- Scattering and the Levandosky-Strauss conjecture for fourth-order nonlinear wave equations
- Global solutions and self-similar solutions for nonlinear beam equations
- Solvability of the Cauchy problem of nonlinear beam equations in Besov spaces
- A note on time decay for the nonlinear beam equation
- Critical exponents, critical dimensions and the biharmonic operator
- Pareto optimal control problem and its Galerkin approximation for a nonlinear one-dimensional extensible beam equation
- Scattering for the defocusing Beam equation in low dimensions
- Self-Focusing with Fourth-Order Dispersion
- Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
- On Blow-up Solutions to the 3D Cubic Nonlinear Schrodinger Equation
- Spatial patterns. Higher order models in physics and mechanics
