Well-posedness of the Cauchy problem in a Banach space: Regular and degenerate cases

Author:

Melnikova I. V.,Al'shansky M. A.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference65 articles.

1. N. A. Al'shansky, “Degenerate integrated semigroups and the (n,ω)-well-posedness of the Cauchy problem for an equation of Sobolev type,”Vest. Chelyabinsk Univ., Ser. Mat. Mekh., No. 4 (1994).

2. N. Dunford and J. T. Schwartz,Linear Operators,1–3, Interscience, New York (1958–1971).

3. A. A. Dezin,Partial Differential Equations: an Introduction to a General Theory of Linear Boundary Value Problems, Springer-Verlag, New York-Berlin (1987).

4. S. P. Zubova and K. I. Chernyshev, “On a linear differential equation with the Fredholm operator in the derivative,”Diff. Uravn. Prim.,14, 21–39 (1976).

5. V. K. Ivanov, V. V. Vasin, and V. P. Tanana,The Theory of Linear Ill-Posed Problems and Their Applications [in Russian], Nauka, Moscow (1978).

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