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Symmetric positive systems with boundary characteristic of constant multiplicity. (English) Zbl 0549.35099

The theory of maximal positive boundary value problems for symmetric positive systems is developed assuming that the boundary is characteristic of constant multiplicity. No such hypothesis is needed on a neighbourhood of the boundary. Both regularity theorems and mixed initial boundary value problems are discussed. Many classical ideas are sharpened in the process.

MSC:

35M99 Partial differential equations of mixed type and mixed-type systems of partial differential equations
35L50 Initial-boundary value problems for first-order hyperbolic systems
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35A30 Geometric theory, characteristics, transformations in context of PDEs
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