On potential wells to a semilinear hyperbolic equation with damping and conical singularity
From MaRDI portal
Publication:2633853
DOI10.1016/j.jmaa.2019.03.005zbMath1439.35342OpenAlexW2922436425WikidataQ128261391 ScholiaQ128261391MaRDI QIDQ2633853
Guangyu Xu, Hong Yi, Chun-Lai Mu
Publication date: 10 May 2019
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.03.005
Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order semilinear hyperbolic equations (35L71) PDEs on manifolds (35R01)
Related Items (1)
Cites Work
- Global existence, uniform decay and exponential growth for a class of semi-linear wave equations with strong damping
- Global existence of Cauchy problem for Boussinesq paradigm equation
- Asymptotic stability and blow-up of solutions for semi-linear edge-degenerate parabolic equations with singular potentials
- Existence theorem for a class of semilinear totally characteristic elliptic equations with critical cone Sobolev exponents
- Cone Sobolev inequality and Dirichlet problem for nonlinear elliptic equations on a manifold with conical singularities
- Dirichlet problem for semilinear edge-degenerate elliptic equations with singular potential term
- Realizations of differential operators on conic manifolds with boundary
- Singular parabolic equations of second order on manifolds with singularities
- Global existence and blow up of solutions for Cauchy problem of generalized Boussinesq equation
- Saddle points and instability of nonlinear hyperbolic equations
- On potential wells and vacuum isolating of solutions for semilinear wave equations
- Degenerate Kirchhoff-type hyperbolic problems involving the fractional Laplacian
- Global existence, finite time blow-up and vacuum isolating phenomena for semilinear parabolic equation with conical degeneration
- Multiplicity and regularity of solutions for infinitely degenerate elliptic equations with a free perturbation
- Global existence and nonexistence for semilinear parabolic equations with conical degeneration
- Invariance and existence analysis for semilinear hyperbolic equations with damping and conical singularity
- Existence theorem and global solution for semilinear edge-degenerate hypoelliptic equations
- Upper bounds of blow-up time and blow-up rate for a semi-linear edge-degenerate parabolic equation
- Existence result for a class of semilinear totally characteristic hypoelliptic equations with conical degeneration
- A class of fourth order wave equations with dissipative and nonlinear strain terms
- Potential well method for Cauchy problem of generalized double dispersion equations
- On potential wells and applications to semilinear hyperbolic equations and parabolic equations
- Global solutions and finite time blow up for damped semilinear wave equations
- On global solution of nonlinear hyperbolic equations
- Some remarks on uniformly regular Riemannian manifolds
- A new blow-up condition for semi-linear edge degenerate parabolic equation with singular potentials
- On the completeness of the generalized eigenfunctions of elliptic operators on manifolds with conical singularities
- BoundedH∞-Calculus for Differential Operators on Conic Manifolds with Boundary
- Vacuum isolating, blow up threshold, and asymptotic behavior of solutions for a nonlocal parabolic equation
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
- Ellipticity and invertibility in the cone algebra on \(L_p\)-Sobolev spaces
- Global existence and nonexistence of the initial-boundary value problem for the dissipative Boussinesq equation
This page was built for publication: On potential wells to a semilinear hyperbolic equation with damping and conical singularity
