stochastic partial differential equations and applications - math da prato g , tubaro l

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Ngày tải lên: 08/04/2014, 12:26

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Ngày tải lên: 08/04/2014, 12:25

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Ngày tải lên: 08/04/2014, 12:25

... T> , such that d dt (v(t ), Θ) + νa(v(t ), Θ) + b(v(t),v(t ), Θ) = F (v(t ), Θ),t> ,( 1.25) for all Θ ∈ V ,and v(x, τ )=v 0 (x ), where F (v, Θ) = −νa( , Θ) − b(ξ,v,Θ) − b(v, , Θ) − ( , t , ... that d dt (v(t ), Θ) + a(v(t ), Θ) + B(v(t),v(t ), Θ) = F(v(t ), Θ ), for all Θ ∈ V ,and v(x, 0) = v 0 (x ), where F (v, Θ) = −a( , Θ) − B(...

Ngày tải lên: 14/03/2014, 10:20

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Ngày tải lên: 31/03/2014, 15:56

... nodal shape functions, p = 2. Lagrange-Gauss-Lobatto nodal shape functions, p = 3. Lagrange-Gauss-Lobatto nodal shape functions, p = 4. Lagrange-Gauss-Lobatto nodal shape functions, ... briefly described and applied to several challenging engineering problems formulated in terms of second-order elliptic PDEs and time-harmonic Maxwell’s equations. Advantages of higher-order...

Ngày tải lên: 31/03/2014, 15:57

... Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, DOI 10.1007/97 8-0 -3 8 7-7 091 4-7 _ 4, © Springer Science+Business Media, LLC 2011 90 4 L p Spaces f  L 1 =f  1 =   |f ... addition, we also have |f k (x)|≤|f  (x)| +g( x ), and the conclusion follows. 4.3 Reflexivity. Separability. Dual of L p We shall consider separately the...

Ngày tải lên: 04/02/2014, 11:10

... containing terms up to and in- cluding cos(Nπx/a).) Clearly, E N can never be negative, and if f and g are “close,” then E N will be small. Thus our problem is to choose the coefficients of g so as ... Sturm– Liouville problems, and the sequel, Section 3.4; and the more difficult parts of Chapter 5, Sections 5.5–5.10 on Bessel functions and Legendre polynomials. On the other...

Ngày tải lên: 17/02/2014, 14:20

... convex in (S, V ). (ii) F is locally strictly concave in T, locally strictly convex in V . (iii) H is locally strictly concave in P, locally strictly convex in S. (iv) G is locally strictly concave ... ,X k , ), ,X k , ) for all W, X 1 , ,X m . Hence λE A +(1− λ)E B = E(S(λE A +(1− λ)E B , , X A k +(1 − λ)X B k , ), , X A k +(1− λ)X B k , ) ≥ E(λS(E A , ,...

Ngày tải lên: 17/03/2014, 14:29

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Ngày tải lên: 31/03/2014, 15:16