The mixed harmonic problem in a bounded cracked domain with Dirichlet condition on cracks.

DOI10.1016/j.jde.2003.09.007zbMath1086.35027OpenAlexW2075049250MaRDI QIDQ1428645

P. A. Krutitskii

Publication date: 29 March 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2003.09.007

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items

Generalized solvability and optimization of a parabolic system with a discontinuous solution, Approximate method for solving the boundary value problem for a parabolic equation with inhomogeneous transmission conditions of nonideal contact type, The third problem for the Laplace equation on a planar cracked domain with modified jump conditions on cracks, On existence of a classical solution and nonexistence of a weak solution to the Dirichlet problem for the Laplacian with discontinuous boundary data, Riemann-Hilbert problems for multiply connected domains and circular slit maps

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