Breather solutions for a semilinear Klein-Gordon equation on a periodic metric graph
DOI10.1016/j.jmaa.2023.127520zbMath1529.35445arXiv2211.08108OpenAlexW4380792633MaRDI QIDQ6136353
Daniela Maier, Guido Schneider, Wolfgang Reichel
Publication date: 29 August 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.08108
Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Soliton solutions (35C08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Cites Work
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- Bifurcations of standing localized waves on periodic graphs
- Characteristic values associated with a class of nonlinear second-order differential equations
- Periodic nonlinear Schrödinger equation with application to photonic crystals
- Nonpersistence of breather families for the perturbed sine Gordon equation
- Elliptic partial differential equations of second order
- Nonlinear Schrödinger equations on periodic metric graphs
- A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients
- Minimax theorems
- Construction of breather solutions for nonlinear Klein-Gordon equations on periodic metric graphs
- Validity of the NLS approximation for periodic quantum graphs
- Nonexistence of small, odd breathers for a class of nonlinear wave equations
- Breather solutions in periodic media
- On Strongly Indefinite Functionals with Applications
- On a Class of Nonlinear Second-Order Differential Equations
- BREATHERS IN INHOMOGENEOUS NONLINEAR LATTICES: AN ANALYSIS VIA CENTER MANIFOLD REDUCTION
- Periodic Solutions of Nonlinear Wave Equations and Hamiltonian Systems
- Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
- The rigidity of sine‐gordon breathers
- Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
- Real-valued, time-periodic localized weak solutions for a semilinear wave equation with periodic potentials
- Periodic motions of an infinite lattice of particles with nearest neighbor interaction
- Variational methods for breather solutions of nonlinear wave equations
- Breather solutions of the cubic Klein–Gordon equation
- Uniformly bounded Riesz bases and equiconvergence theorems
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