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Quesada, Carlos and Rodríguez Bernal, Aníbal (2014) Smoothing and perturbation for some fourth order linear parabolic equations in R-N. Journal of mathematical analysis and applications, 412 (2). pp. 1105-1134. ISSN 0022-247X
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Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X13010433
Abstract
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.
Item Type: | Article |
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Uncontrolled Keywords: | Bi-Laplacian; Analytic semigroups; Perturbation; Smoothing; Bessel spaces; Uniform spaces |
Subjects: | Sciences > Mathematics > Mathematical analysis |
ID Code: | 24688 |
Deposited On: | 17 Mar 2014 09:41 |
Last Modified: | 12 Dec 2018 15:06 |
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