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• W2605763367 abstract "We consider multi-dimensional junction problems for first- and second-order pde with Kirchoff-type Neumann boundary conditions and we show that their generalized viscosity solutions are unique. It follows that any viscosity-type approximation of the junction problem converges to a unique limit. The results here are the first of this kind and extend previous work by the authors for one-dimensional junctions. The proofs are based on a careful analysis of the behavior of the viscosity solutions near the junction, including a blow-up argument that reduces the general problem to a one-dimensional one. As in our previous note, no convexity assumptions and control theoretic interpretation of the solutions are needed." @default.
• W2605763367 created "2017-04-28" @default.
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• W2605763367 date "2017-04-13" @default.
• W2605763367 modified "2023-09-27" @default.
• W2605763367 title "Well posedness for multi-dimensional junction problems with Kirchoff-type conditions" @default.
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• W2605763367 hasPublicationYear "2017" @default.
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