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oai:docta.ucm.es:20.500.14352/334702023-08-27T02:41:19Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Quesada, Carlos author Rodríguez Bernal, Aníbal author 2014 We solve some fourth order parabolic equations, obtained from perturbations of the parabolic bi-Laplacian equation, with special focus on smoothing estimates. Several classes of initial data are considered including data in Lebesgue and Bessel-Lebesgue spaces. Robustness and convergence with respect to the perturbation are also obtained. Also, initial data in large uniform Bessel-Lebesgue spaces are considered as well as equations with higher order powers of the Laplacian. 0022-247X 10.1016/j.jmaa.2013.11.032 https://hdl.handle.net/20.500.14352/33470 http://www.sciencedirect.com/science/article/pii/S0022247X13010433 http://www.sciencedirect.com/ Smoothing and perturbation for some fourth order linear parabolic equations in R-N