Decay estimates for the Cauchy problem for the damped extensible beam equation
DOI10.1080/00036811.2015.1053051zbMath1347.35042OpenAlexW774318915WikidataQ58136407 ScholiaQ58136407MaRDI QIDQ2805629
Reinhard Racke, Shuji Yoshikawa
Publication date: 12 May 2016
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: http://nbn-resolving.de/urn:nbn:de:bsz:352-0-279949
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for nonlinear higher-order PDEs (35G25) Initial value problems for linear higher-order PDEs (35G10)
Related Items (2)
Cites Work
- On the initial value problem of the semilinear beam equation with weak damping. II: Asymptotic profiles
- A difference inequality and its application to nonlinear evolution equations
- Large time behavior and \(L^{p}\)-\(L^{q}\) estimate of solutions of 2-dimensional nonlinear damped wave equations
- On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term
- On the initial value problem of the semilinear beam equation with weak damping. I: Smoothing effect
- Nonlinear vibration of beams and rectangular plates
- Free vibrations and dynamic buckling of the extensible beam
- Stability theory for an extensible beam
- Initial-boundary value problems for an extensible beam
- Decay estimates for the generalized damped extensible string and beam equations
- Remark on the decay for damped string and beam equations
- Exponential Decay of Energy of the Euler--Bernoulli Beam with Locally Distributed Kelvin--Voigt Damping
- The Lack of Exponential Stability in Certain Transmission Problems with Localized Kelvin--Voigt Dissipation
This page was built for publication: Decay estimates for the Cauchy problem for the damped extensible beam equation
