Vacuum isolating and blow-up analysis for edge hyperbolic system on edge Sobolev spaces

DOI10.3906/mat-2003-84zbMath1496.35253OpenAlexW3087850949WikidataQ115483981 ScholiaQ115483981MaRDI QIDQ5099768

Nematollah Kadkhoda, Morteza Koozehgar Kalleji

Publication date: 26 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2003-84

zbMATH Keywords

semilinear hyperbolic equationpotential wellscone Sobolev spaces

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Variational methods for second-order elliptic equations (35J20) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Unnamed Item
• Unnamed Item
• The diffractive wave trace on manifolds with conic singularities
• 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
• Pseudo-differential operators, singularities, applications
• Dirichlet problem for semilinear edge-degenerate elliptic equations with singular potential term
• Propagation of singularities for the wave equation on edge manifolds
• On potential wells and vacuum isolating of solutions for semilinear wave equations
• Multiple solutions for non-homogeneous degenerate Schrödinger equations in cone Sobolev spaces
• Global existence and nonexistence for semilinear parabolic equations with conical degeneration
• Parameter-dependent edge operators
• Invariance and existence analysis for semilinear hyperbolic equations with damping and conical singularity
• Ellipticity of quantum mechanical Hamiltonians in the edge algebra
• Existence result for a class of semilinear totally characteristic hypoelliptic equations with conical degeneration
• On potential wells and applications to semilinear hyperbolic equations and parabolic equations
• Global well-posedness for semilinear hyperbolic equations with dissipative term
• On global solution of nonlinear hyperbolic equations
• Some generalized results for global well-poseness for wave equations with damping and source terms
• Initial boundary value problem for semilinear hyperbolic equations and parabolic equations with critical initial data
• Multiple solutions for a class of nonhomogeneous semilinear equations with critical cone Sobolev exponent
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
• Global results for semilinear hyperbolic equations with damping term on manifolds with conical singularity

This page was built for publication: Vacuum isolating and blow-up analysis for edge hyperbolic system on edge Sobolev spaces