Quesada, CarlosRodríguez Bernal, Aníbal2023-06-192023-06-1920140022-247X10.1016/j.jmaa.2013.11.032https://hdl.handle.net/20.500.14352/33470We 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.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0022247X13010433http://www.sciencedirect.com/open access517Bi-LaplacianAnalytic semigroupsPerturbationSmoothingBessel spacesUniform spacesAnálisis matemático1202 Análisis y Análisis Funcional