Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4260
 Title: Existence and uniqueness of periodic solutions for a quasilinear parabolic problem Authors: Badii, Maurizio Issue Date: 2000 Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche Source: Maurizio Badii, "Existence and uniqueness of periodic solutions for a quasilinear parabolic problem", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2000), pp. 123-138. Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics32 (2000) Abstract: We are concerned with the existence and uniqueness ofthe nonnegative periodic weak solution to a quasilinear parabolicproblem of degenerate type, which describes a mathematical modelin petroleum engineering. The existence of periodic solutions isestablished by means of the Schauder fixed point Theorem appliedto the Poincaré map. Instead, the uniqueness of the periodicsolution is proved under the assumption that $b(\varphi^-1)$ is Höldercontinuous of order 1/2, adapting a technique utilized in the studyof nonlinear hyperbolic equations. Type: Article URI: http://hdl.handle.net/10077/4260 ISSN: 0049-4704 Appears in Collections: Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.32 (2000)

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