Abstract Cauchy problem
Sova, M.
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Displaying similar documents to “On the initial value problem for a partial differential equation with operator coefficients.”
Abstract Cauchy problem
On the existence and uniqueness of solution of the Cauchy problem for a class of linear integro-differential equations
Ivan Hlaváček (1971)
Aplikace matematiky
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The Cauchy problem for systems through the normal form of systems and theory of weighted determinant
Waichiro Matsumoto (1998-1999)
Séminaire Équations aux dérivées partielles
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The author propose what is the principal part of linear systems of partial differential equations in the Cauchy problem through the normal form of systems in the meromorphic formal symbol class and the theory of weighted determinant. As applications, he choose the necessary and sufficient conditions for the analytic well-posedness ( Cauchy-Kowalevskaya theorem ) and well-posedness (Levi condition).
On the existence and uniqueness of solutions for an incomplete second-order abstract Cauchy problem
F. Periago, B. Straub (2003)
Studia Mathematica
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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.
On the uniqueness of the Cauchy problem for partial differential operators with multiple characteristics
Marvin Zeman (1980)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Fourier integral operators in SG classes. I: Composition theorems and action on SG Sobolev spaces.
Coriasco, S. (1999)
Rendiconti del Seminario Matematico
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Isomorphic type of the space of smooth functions determined by a finite family of differential operators.
Kislyakov, S.V., Maksimov, D.V. (2005)
Zapiski Nauchnykh Seminarov POMI
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Cauchy's problem for systems of linear differential equations with distributional coefficients
J. Ligęza (1975)
Colloquium Mathematicae
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