Geodesic
On the existence and uniqueness of solutions for an incomplete second-order abstract Cauchy problem
F. Periago1 ; B. Straub2
1Departamento de Matemática Aplicada y Estadística Universidad Politécnica de Cartagena C/Paseo Alfonso XIII 30203 Cartagena, Spain
2School of Mathematics The University of New South Wales Sydney, NSW 2052, Australia
Studia Mathematica, Tome 155 (2003) no. 2, pp. 183-193
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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.
DOI : 10.4064/sm155-2-7
Keywords: prove existence uniqueness classical solutions incomplete second order abstract cauchy problem associated operators which have polynomially bounded resolvent examples differential operators which abstract result applies included

F. Periago  1   ; B. Straub  2

1 Departamento de Matemática Aplicada y Estadística Universidad Politécnica de Cartagena C/Paseo Alfonso XIII 30203 Cartagena, Spain
2 School of Mathematics The University of New South Wales Sydney, NSW 2052, Australia 
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F. Periago; B. Straub. On the existence and uniqueness of solutions for an
 incomplete second-order abstract Cauchy problem. Studia Mathematica, Tome 155 (2003) no. 2, pp. 183-193. doi: 10.4064/sm155-2-7

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