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The first five chapters of the book deal with classical theory: first-order equations, local existence theorems, and an extensive discussion of the fundamental differential equations of mathematical physics. The techniques of modern analysis, such as distributions and Hilbert spaces, are used wherever appropriate to illuminate these long-studied topics. The last three chapters introduce the modern theory: Sobolev spaces, elliptic boundary value problems, and pseudodifferential operators.
Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations Автор: Kiguradze I.T.,Chanturia T.A. Год: 1992 |
Modern Differential Geometry in Gauge Theories: Maxwell Fields, Volume I (Progress in Mathematical Physics) Автор: Anastasios Mallios, George A. Anastassiou Год: 2005 |
Neurological Differential Diagnosis Автор: Roongroj Bhidayasiri Год: 2007 |
Cooperative stochastic differential games Автор: Yeung D.W., Petrosyan L.A. Год: 2006 |
A practical guide to the invariant calculus Автор: Mansfield E.L. Год: 2010 |
A Practical Guide to the Invariant Calculus (Cambridge Monographs on Applied and Computational Mathematics) Автор: Elizabeth Louise Mansfield Год: 2010 |