Resolvent estimates for high-contrast elliptic problems with periodic coefficients Kirill Cherednichenko, University of Bath Saˇ zetak I will discuss the asymptotic behaviour of the resolvents (Aε + I)−1 of elliptic second-order differential operators Aε in Rd with periodic rapidly oscillating coefficients, as the period ε goes to zero. The class of operators covered by the discussion includes both the “classical” case of uniformly elliptic families (where the ellipticity constant does not depend on ε) and the “double-porosity” case of coefficients that take contrasting values of order one and of order ε2 in different parts of the period cell. I shall describe a construction for the leading order term of the “operator asymptotics” of (Aε + I)−1 in the sense of operator-norm convergence and prove order O(ε) remainder estimates. This is joint work with Shane Cooper.
Resolvent estimates for high-contrast elliptic problems ...
Kirill Cherednichenko, University of Bath. Sazetak. I will discuss the ... values of order one and of order ε2 in different parts of the period cell. I shall describe a ...
Abstract. We continue the study of boundary data maps, that is, gener- alizations ...... implies. γA,B(HD â zI(a,b))â1 = NA,BγN (HD â zI(a,b))â1, z â Ï(HD). (4.52).
KEOMKYO SEO. (Communicated by H. Martini). Abstract. In this article ... negative constants, we can extend Theorem 1.1 as follows. THEOREM 1.3. Let M be an ...
driven models of asset prices and exact sampling of a stochastic volatility ... For each λ in some parameter domain Î, (1) determines the distribution of X(λ) ...... Then, from standard properties of Poisson processes, it is straightforward to che
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istence of multiple solutions for multivalued fourth order elliptic equations under Navier boundary conditions. Our main result extends similar ones known for the ...
where Js denotes the Bessel function of the first kind and order s. We recall ..... by evaluation of the Lyapunov exponent on a grid of stepsize 10â3 and use of the.
Post Graduate Department of Mathematics,. Govt.College,Baramulla,Kashmir-193101 India. e-mail: [email protected]. ABSTRACT. Let P(z) be a polynomial of degree n.In this paper, we discuss inequalities for the family of operators B = B(λ0,λ1,λ2,.)
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tangent bundle of M is transitive. Here the projective bundle is the bundle whose fiber at m â M is the projective space of TmM and the flag bundle the bundle.
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direct methods of calculus of variations. Mathematics Subject Classification (2010): 35J20, 35J92. Key words and phrases: quasilinear elliptic equation, critical ...