Carpio Rodríguez, Ana María2024-01-222024-01-221992Carpio, 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/BF00269511https://hdl.handle.net/20.500.14352/94387We 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.engjournal articlehttps://doi.org/10.1007/BF00269511restricted accessEnergy decayNonlinear dissipative problemsPolynomial and exponential damping termsWave equationsDependence onf initial dataGlobal existenceMatemáticas (Matemáticas)Ecuaciones diferenciales12 Matemáticas1206.13 Ecuaciones Diferenciales en Derivadas Parciales