02858cam a2200409 i 4500 19978820 CSPC 20260106161514.0 170907s2018 nju b 001 0 eng 2017042805 9789813229174 19978820 CSPC eng CSPC rda CSPC pcc QA377 .C5627 2018 515.353 C494i 23 Cioranescu, D. (Doina), author. An introduction to second order partial differential equations : classical and variational solutions / Doina Cioranescu, Patrizia Donato, and Marian P. Roque. Second order partial differential equations Partial differential equations New Jersey : World Scientific, 2018. xvii, 279 pages ; 24 cm. text txt rdacontent unmediated n rdamedia volume nc rdacarrier Includes bibliographical references and index. Classical partial differential equations -- What is a partial differential equation -- Classification of partial differential equations -- Elliptic equations -- Parabolic equations -- Variational partial differential equations -- L-spaces -- The sobolev spaces -- Sobolev embedding theorems -- Variational elliptic problems -- Variational evolution problems. "The book extensively introduces classical and variational partial differential equations (PDEs) to graduate and post-graduate students in Mathematics. The topics, even the most delicate, are presented in a detailed way. The book consists of two parts which focus on second order linear PDEs. Part I gives an overview of classical PDEs, that is, equations which admit strong solutions, verifying the equations pointwise. Classical solutions of the Laplace, heat, and wave equations are provided. Part II deals with variational PDEs, where weak (variational) solutions are considered. They are defined by variational formulations of the equations, based on Sobolev spaces. A comprehensive and detailed presentation of these spaces is given. Examples of variational elliptic, parabolic, and hyperbolic problems with different boundary conditions are discussed." -- Back cover Differential equations, Partial Study and teaching (Higher). Differential equations, Partial Study and teaching (Graduate). Donato, Patrizia, author. Roque, Marian P., author. 7 cbc orignew 1 ecip 20 y-gencatlg ddc BK 515.353 C494i CIR 2018 0 23 0 0 ddc 0 0 CSPC CSPC CIR 2025-12-26 0 CIR 515.353 C494i 2018 030941 2025-12-26 13:45:00 1-2 2025-12-26 BK 0 0 ddc 0 0 CSPC CSPC CIR 2025-12-26 0 CIR 515.353 C494i 2018 030942 2025-12-26 13:45:00 2-2 2025-12-26 BK 31334 31334