On potential wells to a semilinear hyperbolic equation with damping and conical singularity
type: Item
instance of: scholarly article
title: On potential wells to a semilinear hyperbolic equation with damping and conical singularity
zbMATH Open document ID: 1439.35342
author: Guangyu Xu
author: Hong Yi
author: Chunlai Mu
published in: Journal of Mathematical Analysis and Applications
publication date: 2019-05-10T00:00:00Z
Mathematics Subject Classification ID: 35L71
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35R01
zbMATH DE Number: 7053212
zbMATH Keywords: cone Sobolev space
zbMATH Keywords: vacuum isolating behavior
zbMATH Keywords: global existence
zbMATH Keywords: finite-time blow-up
zbMATH Keywords: high initial energy
MaRDI profile type: Publication
full work available at URL: j.jmaa.2019.03.005
OpenAlex ID: W2922436425
cites work: Invariance and existence analysis for semilinear hyperbolic equations with damping and conical singularity
cites work: Existence result for a class of semilinear totally characteristic hypoelliptic equations with conical degeneration
cites work: Global existence and nonexistence for semilinear parabolic equations with conical degeneration
cites work: Global existence, uniform decay and exponential growth for a class of semi-linear wave equations with strong damping
cites work: Asymptotic stability and blow-up of solutions for semi-linear edge-degenerate parabolic equations with singular potentials
cites work: Existence theorem for a class of semilinear totally characteristic elliptic equations with critical cone Sobolev exponents
cites work: Cone Sobolev inequality and Dirichlet problem for nonlinear elliptic equations on a manifold with conical singularities
cites work: Dirichlet problem for semilinear edge-degenerate elliptic equations with singular potential term
cites work: Multiplicity and regularity of solutions for infinitely degenerate elliptic equations with a free perturbation
cites work: BoundedH∞-Calculus for Differential Operators on Conic Manifolds with Boundary
cites work: Realizations of differential operators on conic manifolds with boundary
cites work: Some remarks on uniformly regular Riemannian manifolds
cites work: Global solutions and finite time blow up for damped semilinear wave equations
cites work: A new blow-up condition for semi-linear edge degenerate parabolic equation with singular potentials
cites work: Existence theorem and global solution for semilinear edge-degenerate hypoelliptic equations
cites work: On the completeness of the generalized eigenfunctions of elliptic operators on manifolds with conical singularities
cites work: Global existence of Cauchy problem for Boussinesq paradigm equation
cites work: Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
cites work: Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
cites work: Vacuum isolating, blow up threshold, and asymptotic behavior of solutions for a nonlocal parabolic equation
cites work: On potential wells and vacuum isolating of solutions for semilinear wave equations
cites work: A class of fourth order wave equations with dissipative and nonlinear strain terms
cites work: Global existence and blow up of solutions for Cauchy problem of generalized Boussinesq equation
cites work: Potential well method for Cauchy problem of generalized double dispersion equations
cites work: On potential wells and applications to semilinear hyperbolic equations and parabolic equations
cites work: Degenerate Kirchhoff-type hyperbolic problems involving the fractional Laplacian
cites work: Saddle points and instability of nonlinear hyperbolic equations
cites work: On global solution of nonlinear hyperbolic equations
cites work: Ellipticity and invertibility in the cone algebra on \(L_p\)-Sobolev spaces
cites work: Singular parabolic equations of second order on manifolds with singularities
cites work: Global existence and nonexistence of the initial-boundary value problem for the dissipative Boussinesq equation
cites work: Global existence, finite time blow-up and vacuum isolating phenomena for semilinear parabolic equation with conical degeneration
cites work: Upper bounds of blow-up time and blow-up rate for a semi-linear edge-degenerate parabolic equation
Wikidata QID: Q128261391
DOI: 10.1016/J.JMAA.2019.03.005
description: scientific article