On the application of the theory of G-sectorial operators to partial differential equations
We show that several types of partial differential equations of the parabolic type can be reduced to differential equations with G-sectorial operator coefficient in a Banach space.
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- 4.E. Hille and R. S. Phillips, Functional Analysis and Semi-Groups, American Mathematical Society, Providence (1957).Google Scholar
- 7.S. Ya. Yakubov, Linear Differential Operator Equations and Their Applications [in Russian], Élm, Baku (1985).Google Scholar
- 9.N. Dunford and J. T. Schwartz, Linear Operators. Part 2. Spectral Theory. Self-Adjoint Operators in Hilbert Space [Russian translation], Inostrannaya Literatura, Moscow (1966).Google Scholar
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