TY - JOUR AU - Rodríguez Bernal, Aníbal PY - 2009 DO - 10.3934/dcds.2009.25.1003 SN - 1553-5231 UR - https://hdl.handle.net/20.500.14352/49706 T2 - Discrete and Continuous Dynamical Systems. Series A. AB - Let $\Omega$ be a bounded domain in a Euclidean space, with a smooth boundary. The paper deals with the linear non-autonomous model equation $$ u_t-\Delta u=C(t,x) \quad (x\in \Omega,\ t>0), $$ where $C(x,t)$ is a given function. Besides, various... LA - eng M2 - 1003 PB - American Institute of Mathematical Sciences KW - Parabolic equations KW - Exponential type KW - Asymptotic behavior KW - Perturbations KW - Nonlinear perturbation KW - Linear perturbation TI - Perturbation of the exponential type of linear nonautonomous parabolic equations and applications to nonlinear equations TY - journal article VL - 25 ER -