Kód: 01967719
We consider in Rn a differential operator P(D), P a polynomial, with constant coefficients. Let U be an open set in Rn and A(U) be the space of real analytic functions on U. We consider the equation P(D)u=f, for f in A(U) and look ... celý popis
533 Kč
Dostupnost:
50 % šanceMáme informaci, že by titul mohl být dostupný. Na základě vaší objednávky se ho pokusíme do 6 týdnů zajistit.Zadejte do formuláře e-mailovou adresu a jakmile knihu naskladníme, zašleme vám o tom zprávu. Pohlídáme vše za vás.
Nákupem získáte 53 bodů
We consider in Rn a differential operator P(D), P a polynomial, with constant coefficients. Let U be an open set in Rn and A(U) be the space of real analytic functions on U. We consider the equation P(D)u=f, for f in A(U) and look for a solution in A(U). Hormander proved a necessary and sufficient condition for the solution to exist in the case U is convex. From this theorem one derives the fact that if a cone W admits a Phragmen-Lindeloff principle then at each of its non-zero real points the real part of W is pure dimensional of dimension n-1. The Phragmen-Lindeloff principle is reduced to the classical one in C. In this paper we consider a general Hilbert complex of differential operators with constant coefficients in Rn and we give, for U convex, the necessary and sufficient conditions for the vanishing of the H1 groups in terms of the generalization of Phragmen-Lindeloff principle.
Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis
533 Kč
Osobní odběr Praha, Brno a 12903 dalších
Copyright ©2008-24 nejlevnejsi-knihy.cz Všechna práva vyhrazenaSoukromíCookies
Nákupní košík ( prázdný )