Quantitative Stochastic Homogenization and Large-Scale Regularity. (2019)

• Record Type: Book
• Further Information: Note: Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat.
• Other Names: Armstrong, Scott; Kuusi, Tuomo; Mourrat, Jean-Christophe
• Contents: Preface.- Assumptions and examples.- Frequently asked questions.- Notation.- Introduction and qualitative theory.- Convergence of the subadditive quantities.- Regularity on large scales.- Quantitative description of first-order correctors.- Scaling limits of first-order correctors.- Quantitative two-scale expansions.- Calderon-Zygmund gradient L p estimates.- Estimates for parabolic problems.- Decay of the parabolic semigroup.- Linear equations with nonsymmetric coefficients.- Nonlinear equations.- Appendices: A.The O_s notation.- B.Function spaces and elliptic equations on Lipschitz domains.- C.The Meyers L {2+\delta} estimate.- D. Sobolev norms and heat flow.- Parabolic Green functions.- Bibliography.- Index.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2019
• Extent: 1 online resource
• Subjects: 515.353; Homogenization (Differential equations); MATHEMATICS / Calculus; MATHEMATICS / Mathematical Analysis; Electronic books
• Languages: English
• ISBNs: 9783030155452; 3030155455
• Related ISBNs: 9783030155445
• Notes: Note: Online resource; title from PDF file page (EBSCO, viewed May 13, 2019).
• 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.