Mixed boundary value problems for the Laplace-Beltrami equations

2015/03/16 by Roland Duduchava, Duduchava, Roland, Medea Tsaava +1
Computer Science · Mathematics · #35J57 #45E10 #47B35 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1503.04578

openalex publication_date 2015/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the mixed Dirichlet-Neumann boundary value problems for the Laplace-Beltrami equation on a smooth hypersurface C with the smooth boundary in non-classical setting in the Bessel potential spaces ℍ¹_p(C) for 1

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