RT Journal Article
T1 Sharp estimates of the energy for the solutions of some dissipative second order evolution problems
A1 Carpio Rodríguez, Ana María
AB We establish precise estimates of the energy decay for certain second order dissipative problems concentrating our attention on the effect of the nonlinearity on the constants depending on the initial data in such estimates. In general, when damping terms are superlinear such constants turn out to be superlinear functions of the initial energy. We consider nonlinear terms growing either polynomially or exponentially and apply our results to some concrete partial and ordinary differential equations. In certain particular cases, the optimality of the obtained estimates is also proved.
PB Springer
YR 1992
FD 1992
LK https://hdl.handle.net/20.500.14352/94387
UL https://hdl.handle.net/20.500.14352/94387
LA eng
NO Carpio, A. Sharp estimates of the energy for the solutions of some dissipative second order evolution equations. Potential Anal 1, 265–289 (1992). https://doi.org/10.1007/BF00269511
NO Eusko Jaurlaritza
DS Docta Complutense
RD 23 ago 2025