The regularity properties and blow-up of the solutions for nonlocal general wave equations
From MaRDI portal
Publication:2064305
DOI10.1016/j.jde.2021.12.004zbMath1480.35299OpenAlexW4200407638MaRDI QIDQ2064305
Veli B. Shakhmurov, Vural Bayrak, Rishad Shahmurov
Publication date: 5 January 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2021.12.004
Smoothness and regularity of solutions to PDEs (35B65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order hyperbolic equations (35L15) Abstract hyperbolic equations (35L90) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Examining the physical foundation of continuum theories from the viewpoint of phonon dispersion relation
- On the functional form of non-local elasticity kernels
- Formulations of nonlocal continuum mechanics based on a new definition of stress tensor
- Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
- The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
- Global existence of small solutions for a generalized Boussinesq equation
- The Cauchy problem for the generalized IMBq equation in \(W^{s,p}(\mathbb R^n)\).
- The initial value problem for a generalized Boussinesq equation.
- Small amplitude solutions of the generalized IMBq equation.
- Multiplicative perturbations of \(C_ 0\)-semigroups and some applications to step responses and cumulative outputs
- Reformulation of elasticity theory for discontinuities and long-range forces
- On a theory of nonlocal elasticity of bi-Helmholtz type and some applications
- Nonlocal Continuum Field Theories
- Solitary-Wave Interactions in Elastic Rods
- Global existence for nonlinear wave equations
- Blow up of solutions of a generalized Boussinesq equation
- Operator–valued Fourier multiplier theorems on Besov spaces
- Instability and Blow-Up of Solutions to a Generalized Boussinesq Equation
- Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity
- Nonlocal elasticity and related variational principles