Singularities in boundary value problems for an abstracts second order differential equation of elliptic type

• Autorzy: Labbas R. , Maingot S.
• Języki publikacji: EN

Abstrakty

EN

In this work we give an alternative approach to the study of some singular boundary value problems for a second order differential-operator equation in the space of Holder continuous functions. We prove that the solution can be represented explicitly as the sum u = uR + uS of a regular part and a singular part under some natural assumptions on the data. We then give a complete analysis of uR and uS by using the operational calculus.

Słowa kluczowe

EN

boundary value problem; Cauchy problem; differential equations

PL

równania różniczkowe; problem Cauchy'ego

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 3
• Strony: 627--652
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Labbas R.

• Laboratoire de Mathématiques, Faculté des Sciences et Techniques, Université du Havre, B.P 540, 76058 Le Havre Cedex, France

autor

Maingot S.

• Laboratoire de Mathématiques, Faculté des Sciences et Techniques, Université du Havre, B.P 540, 76058 Le Havre Cedex, France

Bibliografia

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• [8] R. Labbas, B. Terreni, Sommes d'Opérateurs Linéaires de Type Parabolique. 2ème partie. Boll. Un. Mat. Italiana, (7), 2-B (1988), 141-162.
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