Semigroups of bounded operators and second-order elliptic and parabolic partial differential equations. (2020)

• Record Type: Book
• Further Information: Note: Luca Lorenzi, Adbelaziz Rhandi.
• Authors: Lorenzi, Luca; Rhandi, Abdelaziz
• Contents: 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 Cᵇ (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 Rͩ. 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.
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2020
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 515.3533; Differential equations, Elliptic; Differential equations, Parabolic; Semigroups of operators; Operator theory
• Languages: English
• ISBNs: 9780429557668; 9780429553196; 9780429562136; 9780429262593
• Related ISBNs: 9780367206291
• Notes: Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.