Corollaries of Previous Results Under Special Assumptions on L(t, Dt)
We devote this chapter to applications of existence and uniqueness results and to estimates on the solutions of (5.1) (as obtained in Ch.5 under rather general conditions (5.7)). We consider here several special cases where the results of Ch.5 can be made more explicit. We shall distinguish these cases by imposing different requirements on the function ρ defined by (5.3). The choice of material is dictated by the estimates for Green’s function of the ordinary differential equation (5.5) given in Kozlov, Maz’ya (1997), Ch.6.
KeywordsDirichlet Problem Elliptic Operator Global Condition Neumann Problem Special Assumption
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