On spectral and fractional powers of damped wave equations
DOI10.3934/CPAA.2022071zbMath1500.35293OpenAlexW4226153117MaRDI QIDQ2087551
Marcelo J. D. Nascimento, Flank D. M. Bezerra, Maykel Belluzi
Publication date: 21 October 2022
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2022071
Initial-boundary value problems for second-order hyperbolic equations (35L20) Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the lack of controllability of fractional in time ODE and PDE
- Parabolic approximation of damped wave equations via fractional powers: fast growing nonlinearities and continuity of the dynamics
- Characterization of domains of fractional powers of certain operators arising in elastic systems, and applications
- Perturbation theory for nullity, deficiency and other quantities of linear operators
- Fractional powers of closed operators and the semigroups generated by them
- On the spectral theory of elliptic differential operators. I
- Semigroups of linear operators and applications to partial differential equations
- Proof of extensions of two conjectures on structural damping for elastic systems
- Towards a ``Matrix theory for unbounded operator matrices
- Geometric theory of semilinear parabolic equations
- A constructive description of the domains of definition of fractional powers of elliptic operators
- Fractional powers approach of operators for abstract evolution equations of third order in time
- Fractional approximations of abstract semilinear parabolic problems
- On the essential spectrum of an arbitrary operator. I
- Domains of Fractional Powers of Matrix-valued Operators: A General Approach
- Note on fractional powers of linear operators
- On the Controllability of a Fractional Order Parabolic Equation
- Corrigendum to the paper “Numerical approximation of fractional powers of regularly accretive operators”
- Local well posedness for strongly damped wave equations with critical nonlinearities
This page was built for publication: On spectral and fractional powers of damped wave equations