High-frequency asymptotics for the modified Helmholtz equation in a half-plane

被引：0
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作者：
Min-Hai Huang
机构：
[1] Zhaoqing University,College of Mathematics and Information Sciences
来源：
Boundary Value Problems | / 2014卷
关键词：
high-frequency asymptotics; Fokas’ transform method; method of steepest descents; modified Helmholtz equation; Dirichlet boundary value problem;
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摘要：
Based on the integral representations of the solution derived via Fokas’ transform method, the high-frequency asymptotics for the solution of the modified Helmholtz equation, in a half-plane and subject to the Dirichlet condition, is discussed. For the case of piecewise constant boundary data, full asymptotic expansions of the solution are obtained by using Watson’s lemma and the method of steepest descents for definite integrals.
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