On the existence and uniqueness of solutions for an incomplete second-order abstract Cauchy problem

• Autorzy: F. Periago , B. Straub
• Języki publikacji: EN

Abstrakty

EN

We prove existence and uniqueness of classical solutions for an incomplete second-order abstract Cauchy problem associated with operators which have polynomially bounded resolvent. Some examples of differential operators to which our abstract result applies are also included.

Kategorie tematyczne

• 47D06: One-parameter semigroups and linear evolution equations
• 34K30: Equations in abstract spaces
• 47F05: Partial differential operators (should also be assigned at least one other classification number in section 47)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 155
• Numer: 2
• Strony: 183-193

Daty

wydano

2003

Twórcy

autor

F. Periago

• Departamento de Matemática Aplicada, y Estadística, Universidad Politécnica de Cartagena, C/Paseo Alfonso XIII, 30203 Cartagena, Spain

autor

B. Straub

• School of Mathematics, The University of New South Wales, Sydney, NSW 2052, Australia

Identyfikatory

DOI

10.4064/sm155-2-7