The compound equation related to the Bessel-Helmholtz equation and the Bessel-Klein-Gordon equation
In this paper we study the compound equation where x = (x 1 , x 2 , . . . , x n ) ∈ ℝ n + = {x ∈ ℝ n | x i > 0}, a and b are nonzero constants. u(x) is unknown function and f(x) is a given distribution. (δB + a 2 ) i is the Bessel-Helmholtz operator iterated i-times and ({combining square b...
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| Format: | Journal |
| Published: |
2018
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| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84886264601&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47552 |
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| Institution: | Chiang Mai University |
| Summary: | In this paper we study the compound equation where x = (x 1 , x 2 , . . . , x n ) ∈ ℝ n + = {x ∈ ℝ n | x i > 0}, a and b are nonzero constants. u(x) is unknown function and f(x) is a given distribution. (δB + a 2 ) i is the Bessel-Helmholtz operator iterated i-times and ({combining square below}B + b 2 ) j is the Bessel-Klein-Gordon operator iterated j-times. The existence and the uniqueness solution of (1) is proven. © 2013 Chalermpon Bunpog. |
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