Classical and weak solutions for semilinear parabolic equations with Preisach hysteresis

• Autorzy: Jais M.
• Języki publikacji: EN

Abstrakty

EN

We consider the solvability of the semilinear parabolic differential equation [formula] in a cylinder D = Ω x (0, T), where Ρ is a hysteresis operator of Preisach type. We show that the corresponding initial boundary value problems have unique classical solutions. We further show that using this existence and uniqueness result, one can determine the properties of the Preisach operator Ρ from overdetermined boundary data.

Słowa kluczowe

EN

hysteresis; parabolic; inverse problem; uniqueness

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2008
• Tom: Vol. 28, no. 1
• Strony: 47--62
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Jais M.

• Cardiff University, School of Computer Science, Cardiff, CF24 3AA, U.K.,

Bibliografia

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