Electron. J. Diff. Equ., Vol. 2015 (2015), No. 198, pp. 1-22.

Direct and inverse degenerate parabolic differential equations with multi-valued operators

Angelo Favini, Alfredo Lorenzi, Hiroki Tanabe

Abstract:
Real interpolation spaces are used for solving some identification linear evolution problems in Banach spaces, under space regularity assumptions.

Submitted June 11, 2015. Published July 30, 2015.
Math Subject Classifications: 35R30, 34G10, 35K20, 35K50, 45N05, 45Q05.
Key Words: Identification problems; first-order equations and systems in Banach spaces; linear parabolic integro-differential equations; existence and uniqueness.

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Angelo Favini
Dipartimento di Matematica, University of Bologna
Piazza di Porta San Donato 5, 40126
Bologna, Italy
email: angelo.favini@unibo.it
  Alfredo Lorenzi
Dipartimento di Matematica ``F. Enriques''
Universitá degli Studi di Milano
via Saldini 50, 20133 Milano, Italy
Hiroki Tanabe
Takarazuka, Hirai Sanso 12-13
665-0817, Japan
email: h7tanabe@jttk.zaq.ne.jp

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