Nonlocal boundary-value problems with a shift
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This first part of the paper deals with strongly elliptic differential- difference equations; it is an extract of an earlier paper [J. Differ. Equations 63, 332-361 (1986; Zbl 0598.35122)]. The second part applies the results of the first part to linear elliptic boundary value problems of second order. In a domain \(D=(0,d)\times G\subset {\mathbb{R}}^ n\) the following nonlocal boundary conditions are considered: \[ u(0,y)=\sum_{i
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nonlocal boundary conditions, Variational methods for second-order elliptic equations, strongly elliptic differential-difference equations, Partial functional-differential equations, existence, uniqueness, Existence of generalized solutions of PDE, General topics in linear spectral theory for PDEs, spectrum
nonlocal boundary conditions, Variational methods for second-order elliptic equations, strongly elliptic differential-difference equations, Partial functional-differential equations, existence, uniqueness, Existence of generalized solutions of PDE, General topics in linear spectral theory for PDEs, spectrum
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