Kernels for solving problems of dirichlet type in a half-plane
نویسندگان
چکیده
منابع مشابه
Half-Dirichlet problems for Dirac operators in Lipschitz domains
Recall that in the case of the Dirichlet problem for the Laplace operator ∂2 x +∂ 2 y in Ω ⊆ R2, one prescribes the whole trace of a harmonic function in, say, L2(∂Ω). On the other hand, for the Cauchy-Riemann operator ∂x + i∂y, natural boundary problems are obtained by prescribing “half” of the trace of the analytic function in L2(∂Ω). Such half-Dirichlet problems arise when, for example, one ...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1975
ISSN: 0001-8708
DOI: 10.1016/0001-8708(75)90004-3