Metodi perturbativi per problemi inversi su equazioni differenziali degeneri

Autori

  • Angelo Favini Università di Bologna

DOI:

https://doi.org/10.6092/issn.2240-2829/3422

Parole chiave:

pertubative methods, inverse problems, degenerate differential equations

Abstract

Vengono provati teoremi di perturbazione per relazioni lineari soddisfacenti una condizione risolvente di tipo debolmente parabolica. Tali risultati sono applicati a problemi inversi per equazioni differenziali degeneri, fornendo un nuovo metodo perturbativo che evita l'uso di argomenti come punto fisso e che essenzialmente consiste nel ridurre l'originale problema inverso ad un problema ausiliario diretto.

Riferimenti bibliografici

M. Al Horani, A. Favini, Degenerate first order identfiication problems in Banach spaces, Differential Equations; Inverse and Direct Problems, Edited by A. Favini and A. Lorenzi, Taylor and Francis

Group, New York, N.Y. 2006, 1-15.

M. Al Horani, A. Favini, An identication problem for first-order degenerate differential equations, Journal of Optimization Theory and Applications, Vol. 130, Number 1 (2006), 41-60.

R. Cross, Multivalued Linear Operators, M. Dekker, Inc., 1998.

R. Cross, A. Favini and Ya. Yakubov, Perturbation results for multivalued linear operators, Parabolic Problems: the Herbert Amann Festschrift, J. Escher, P. Guidotti, M. Hieber, P. M. Bucha, J. W. Pruss, Y. Shibata, G. Simonett, C. Walker, W Zajaczkowski Editors, Birkhauser Basel AG, 2011, 111-130.

A. Favaron, A. Favini, Fractional powers in interpolation theory for multivalued linear operators and applications to degenerate differential equations, Tsukuba J. of Mathematics Vol. 35, No.2 (2011), 259-323.

A. Favaron, A. Favini, On the behaviour of singular semigroups in intermediate and interpolation spaces and its applications to maximal regularity for degenerate integro-differential evolution equations, submitted.

A. Favaron, A. Favini, Perturbation methods for inverse problems on degenerate differential equations, submitted.

A. Favini, Perturbation methods and identication problems for degenerate evolution systems, VII Congress of Romanian Mathematicians, June 29 - July 5, 2011, Brasov, Romania.

A. Favini, A. Lorenzi, H. Tanabe and A. Yagi, An Lp-approach to singular linear parabolic equations in bounded domains, Osaka J. Math. 42 (2005), 385-406.

A. Favini, A. Yagi, Degenerate Dierential Equations in Banach Spaces, Marcel Dekker, Inc., New York, 1999.

A. Lunardi, Analytic semigroups amd optimal regularity in parabolic problems, Birkhauser, Basel, 1995.

W. von Wahl, Gebrochene Potenzen eines elliptischen Operators und parabolische Differentialgleichungen

in Raumen hoelderstetiger Funktionen, Nachr. Akad. Wiss. Gottingen Math.-Phys. Kl. II, (1972), 231258.

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Pubblicato

2012-12-30

Come citare

Favini, A. (2012). Metodi perturbativi per problemi inversi su equazioni differenziali degeneri. Bruno Pini Mathematical Analysis Seminar, 3(1), 88–103. https://doi.org/10.6092/issn.2240-2829/3422

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