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On the decay of solutions for some nonlinear evolution equations of second order
- Source :
- Nagoya Math. J. 73 (1979), 69-98
- Publication Year :
- 1979
- Publisher :
- Cambridge University Press (CUP), 1979.
-
Abstract
- In this paper we consider nonlinear evolution equations of the form(E) u″(t) + Au(t) + B(t)u′(t) = f(t), 0 ≦ t < ∞,(u′(t) = d2u(t)/dt2, u′(t) = du(t)/dt), where A and B(t) are (possibly) nonlinear operators. Various examples of equations of type (E) arise in physics; for instance, if Au = –Δu and B(t)u′ = | u′ | u′, the equation represents a classical vibrating membrane with the resistance proportional to the velocity.
Details
- ISSN :
- 21526842 and 00277630
- Volume :
- 73
- Database :
- OpenAIRE
- Journal :
- Nagoya Mathematical Journal
- Accession number :
- edsair.doi.dedup.....ce3f023ad32aeee2b919b54f92bd0ab7