Dirichlet problem for an equation of mixed type with two degeneration lines in a rectangular domain

被引：0
作者：
K. B. Sabitov
E. V. Vagapova
机构：
[1] Academy of Sciences of Republic Bashkortostan,Institute of Applied Research
[2] Sterlitamak State Pedagogical Academy,undefined
来源：
Differential Equations | 2013年 / 49卷
关键词：
Dirichlet Problem; Asymptotic Formula; Mixed Type; Rectangular Domain; Positive Zero;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
For an equation of elliptic-hyperbolic type with two perpendicular lines of power-law degeneration, we prove a criterion for the uniqueness of the solution of the first boundary value problem by the spectral expansion method. The solution is constructed in the form of the sum of a Fourier-Bessel series.
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页码：68 / 78
页数：10
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[1]  
Sabitov KB(2003)The Tricomi Problem for a Mixed Type Equation with Two Orthogonal Degeneration Lines Differ. Uravn. 39 788-800
[2]  
Sharafutdinova GG(2007)The Dirichlet Problem for Equations of Mixed Type in a Rectangular Domain Dokl. Akad. Nauk 413 23-26
[3]  
Sabitov KB(1975)Uniqueness and Membership in Mat. Zametki 17 91-101
[4]  
Il’in VA(1975) of the Classical Solution of a Mixed Problem for a Self-Adjoint Hyperbolic Equation Differ. Uravn. 11 60-65
[5]  
Il’in VA(1983)A Theorem on the Uniqueness and Membership in the Class Dokl. Akad. Nauk SSSR 273 789-793
[6]  
Il’in VA(2010) of the Classical Solution of a Mixed Problem for a Nonself-Adjoint Hyperbolic Equation in an Arbitrary Cylinder Differ. Uravn. 46 105-113
[7]  
Sabitov KB(undefined)Necessary and Sufficient Conditions for a Being a Basis in undefined undefined undefined-undefined
[8]  
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