Degenerate Elliptic Equations (Mathematics and Its Applications)

✍ Scribed by Serge Levendorskii

Publisher: Springer
Year: 2010
Tongue: English
Leaves: 442
Series: Mathematics and Its Applications (Book 258)
Edition: Softcover reprint of hardcover 1st ed. 1993
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This volume is the first to be devoted to the study of various properties of wide classes of degenerate elliptic operators of arbitrary order and pseudo-differential operators with multiple characteristics. Conditions for operators to be Fredholm in appropriate weighted Sobolev spaces are given, a priori estimates of solutions are derived, inequalities of the Gårding type are proved, and the principal term of the spectral asymptotics for self-adjoint operators is computed. A generalization of the classical Weyl formula is proposed. Some results are new, even for operators of the second order. In addition, an analogue of the Boutet de Monvel calculus is developed and the index is computed. For postgraduate and research mathematicians, physicists and engineers whose work involves the solution of partial differential equations.

✦ Subjects

Mathematics;Calculus; Differential equations

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