On asymptotic properties of solutions to \(\sigma \)-evolution equations with general double damping
From MaRDI portal
Publication:6126778
DOI10.1016/j.jmaa.2024.128246arXiv2311.06660MaRDI QIDQ6126778
Duc Anh Nguyen, Dinh Van Duong, Tuan Anh Dao
Publication date: 10 April 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2311.06660
Miscellaneous topics in partial differential equations (35Rxx) Hyperbolic equations and hyperbolic systems (35Lxx) Qualitative properties of solutions to partial differential equations (35Bxx)
Cites Work
- Unnamed Item
- Lifespan of solutions to the damped wave equation with a critical nonlinearity
- Critical exponent for nonlinear wave equations with frictional and viscoelastic damping terms
- A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations
- \(L^1-L^1\) estimates for a doubly dissipative semilinear wave equation
- On the asymptotic behavior of solutions of semi-linear wave equations
- Energy decay of solutions of dissipative wave equations
- \(L^p\)-\(L^q\) estimates of solutions to the damped wave equation in 3-dimensional space and their application
- Asymptotic profiles of solutions for structural damped wave equations
- Global existence of solutions for semilinear damped wave equations in \(\mathbb R^N\) with noncompactly supported initial data
- \(L^p\)-\(L^q\) estimates for damped wave equations and their applications to semi-linear problem
- \( L^1 \) estimates for oscillating integrals and their applications to semi-linear models with \( \sigma \)-evolution like structural damping
- \(L^p-L^q\) estimates for a parameter-dependent multiplier with oscillatory and diffusive components
- Global small data solutions for semilinear waves with two dissipative terms
- Semilinear \(\sigma\)-evolution models with friction and visco-elastic type damping
- On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping
- Study of semi-linear \(\sigma\)-evolution equations with frictional and visco-elastic damping
- Some results on the global solvability for structurally damped models with special nonlinearity
- Global existence for semi-linear structurally damped \(\sigma\)-evolution models
- An application of \(L^{1}\) estimates for oscillating integrals to parabolic like semi-linear structurally damped \(\sigma\)-evolution models
- Blow-up results for semi-linear structurally damped \(\sigma\)-evolution equations
- A blow-up result for a nonlinear wave equation with damping: The critical case
- Asymptotic profile of solutions for wave equations with frictional and viscoelastic damping terms
- L 1 Estimates for Oscillating Integrals Related to Structural Damped Wave Models
- Semilinear structural damped waves
- The External Damping Cauchy Problems with General Powers of the Laplacian
- Methods for Partial Differential Equations
- Semilinear wave models with friction and viscoelastic damping
- Moment conditions and lower bounds in expanding solutions of wave equations with double damping terms
- A note on the lifespan of solutions to the semilinear damped wave equation
- A classification of structural dissipations for evolution operators
- Critical exponent for a nonlinear wave equation with damping
This page was built for publication: On asymptotic properties of solutions to \(\sigma \)-evolution equations with general double damping