Singular perturbations for abstract elliptic operators and applications
Künye
Shakhmurov, V. (2012). Singular perturbations for abstract elliptic operators and applications. TWMS Journal Of Applied And Engineering Mathematics, 2(1), 19-34.Özet
Dirichlet problem for parameter depended elliptic differential-operator equation with variable coefficients in smooth domains is studied. The uniform maximal regularity, Fredholmness and the positivity of this problem in vector-valued Lp-spaces are obtained. It is proven that the corresponding differential operator is positive and is a generator of an analytic semigroup. In application, the maximal regularity properties of Cauchy problem for abstract parabolic equation and anisotropic elliptic equations with small parameters are established.
Kaynak
TWMS Journal Of Applied And Engineering MathematicsCilt
2Sayı
1Bağlantı
https://hdl.handle.net/11729/2444http://jaem.isikun.edu.tr/web/index.php/archive/85-vol2no1/145
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