Fractional oscillon equations; solvability and connection with classical oscillon equations
DOI10.3934/cpaa.2021067zbMath1483.35024arXiv2006.03192OpenAlexW3148382170MaRDI QIDQ2247219
Rodiak N. Figueroa-López, Marcelo J. D. Nascimento, Flank D. M. Bezerra
Publication date: 17 November 2021
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.03192
fractional powerspullback attractorfractional equationsoscillon equationsemilinear hyperbolic equations
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) One-parameter semigroups and linear evolution equations (47D06) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11) Second-order semilinear hyperbolic equations (35L71)
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Cites Work
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- Parabolic approximation of damped wave equations via fractional powers: fast growing nonlinearities and continuity of the dynamics
- Time-dependent attractor for the oscillon equation
- A non-autonomous strongly damped wave equation: existence and continuity of the pullback attractor
- Singularly non-autonomous semilinear parabolic problems with critical exponents
- Strongly damped wave equations in \(W^ {1,p}_ 0(\Omega)\times L^ p(\Omega)\)
- Semigroups of linear operators and applications to partial differential equations
- Proof of extensions of two conjectures on structural damping for elastic systems
- Attractors for processes on time-dependent spaces. Applications to wave equations
- The 3-dimensional oscillon equation
- Note on fractional powers of linear operators
- Local well posedness for strongly damped wave equations with critical nonlinearities
- Equations of parabolic type in a Banach space