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Non-Homogeneous Boundary Value Problems and Applications - Volume III (Paperback, Softcover reprint of the original 1st ed. 1973)
Loot Price: R4,303
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Non-Homogeneous Boundary Value Problems and Applications - Volume III (Paperback, Softcover reprint of the original 1st ed. 1973)
Series: Grundlehren der mathematischen Wissenschaften, 183
Expected to ship within 10 - 15 working days
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1. Our essential objective is the study of the linear,
non-homogeneous problems: (1) Pu = I in CD, an open set in RN, (2)
fQjtl = gj on am (boundary of m), lor on a subset of the boundm"J
am 1 v, where Pis a linear differential operator in m and where the
Q/s are linear differential operators on am. In Volumes 1 and 2, we
studied, for particular c1asses of systems {P, Qj}, problem (1),
(2) in c1asses of Sobolev spaces (in general constructed starting
from P) of positive integer or (by interpolation) non-integer
order; then, by transposition, in c1asses of Sobolev spaces of
negative order, until, by passage to the limit on the order, we
reached the spaces of distributions of finite order. In this
volume, we study the analogous problems in spaces of inlinitely
dilferentiable or analytic Itlnctions or of Gevrey-type I~mctions
and by duality, in spaces 01 distribtltions, of analytic
Itlnctionals or of Gevrey- type ultra-distributions. In this
manner, we obtain a c1ear vision (at least we hope so) of the
various possible formulations of the boundary value problems (1),
(2) for the systems {P, Qj} considered here.
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