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책 정보
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 계산
· ISBN : 9780367206291
· 쪽수 : 502쪽
목차
1. Function spaces. I. Semigroups of bounded operators. 2. Strongly continuous semigroups. 3. Analytic semigroups. II. Parabolic equations. 4. Elliptic and parabolic maximum principles. 5 Prelude to parabolic equations: the heat equation and the Gauss-Weierstrass semigroup in C?(Rd). 6. Parabolic equations in Rd. 7. Parabolic equations in Rd + with Dirichlet boundary conditions. 8. Parabolic equations in Rd+ with more general boundary conditions. 9 Parabolic equations in bounded smooth domains Ω. III Elliptic equations. 10. Elliptic equations in R?. 11. Elliptic equations in Rd+ with homogeneous Dirichlet boundary conditions. 12. Elliptic equation in Rd+ with general boundary conditions. 13 Elliptic equations on smooth domains Ω. 14 Elliptic operators and analytic semigroups. 15. Kernel estimates. IV. Appendices. A Basic notion of Functional Analysis in Banach spaces. B Smooth domains and extension operators.