Formulation of the boundary problem

In formulating this boundary problem we will suppose that  

the boundary problem is formulated in the following way. The medium is separated by a set of n — 1 coaxial cylindrical surfax es with radii Ui, a2, ag, a i into n 

Later we will consider a more general case. 

Unlike in Chapter 2 we will use here another dependence on time e instead of e L In accord with eq. 4.3 the complex amplitude of the electric field can he presented as  

Derivation of the Formula for the Vertical Component of the Magnetic Field 

Consider an inclined crack with the nonpenetration condition of the form (3.173), (3.176). Let % = (IL, w) be the displacement vector of the midsurface points. Introduce the strain and stress tensor components Sij = 

X L7 °(flc)- The spaces L7 °(flc) are introduced analogously to the spaces used in previous sections. Denote 

In view of the weak lower semicontinuity of II, we conclude that the problem (3.180) (or the problem (3.181)) has a solution. This solution is unique. 

It is seen that in the domain flc flip the following equations, 

Let a point x be interior with respect to i.e. there exists a neighbourhood U of the point x such that U C We choose a smooth function X = (W, w) in the domain flc such that a support of x belongs to U and 

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