Existence of solutions for infinite systems of parabolic equations with functional dependence

• Autorzy: Anna Pudełko
• Języki publikacji: EN

Abstrakty

EN

The Cauchy problem for an infinite system of parabolic type equations is studied. General operators of parabolic type of second order with variable coefficients are considered and the system is weakly coupled. We prove the existence and uniqueness of a bounded solution under Carathéodory type conditions and its differentiability, as well as the existence and uniqueness in the class of functions satisfying a natural growth condition. Both results are obtained by the fixed point method.

Kategorie tematyczne

• 35K15: Initial value problems for second-order parabolic equations
• 35R10: Partial functional-differential equations
• 47H10: Fixed-point theorems
• 35K55: Nonlinear parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 86
• Numer: 2
• Strony: 123-135

Daty

wydano

2005

Twórcy

autor

Anna Pudełko

• Faculty of Applied Mathematics, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/ap86-2-3