On the diamond wave operator
In this paper, we study the solution of the Diamond-wave operator L which is defined by where is the Diamond operator, x ∈ R{double-struck} n -the n dimensional Euclidean space, t ≥ 0, and p + q = n is the dimension of R{double-struck} n . By considering the equation Lu(x, t) = 0 with the suitable i...
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th-cmuir.6653943832-432282017-09-28T06:52:35Z On the diamond wave operator Kananthai A. In this paper, we study the solution of the Diamond-wave operator L which is defined by where is the Diamond operator, x ∈ R{double-struck} n -the n dimensional Euclidean space, t ≥ 0, and p + q = n is the dimension of R{double-struck} n . By considering the equation Lu(x, t) = 0 with the suitable initial conditions. We obtained the unique solution u(x, t) of such equation. Moreover, we obtained the boundedness of u(x, t) subject to the suitable initial conditions. In particular, if we put n = 1, p = 1 and q = 0 we also obtained the solution of the beam equation. 2017-09-28T06:52:35Z 2017-09-28T06:52:35Z 2010-09-29 Journal 13128876 2-s2.0-77956988284 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77956988284&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43228 |
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Thailand |
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In this paper, we study the solution of the Diamond-wave operator L which is defined by where is the Diamond operator, x ∈ R{double-struck} n -the n dimensional Euclidean space, t ≥ 0, and p + q = n is the dimension of R{double-struck} n . By considering the equation Lu(x, t) = 0 with the suitable initial conditions. We obtained the unique solution u(x, t) of such equation. Moreover, we obtained the boundedness of u(x, t) subject to the suitable initial conditions. In particular, if we put n = 1, p = 1 and q = 0 we also obtained the solution of the beam equation. |
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Journal |
| author |
Kananthai A. |
| spellingShingle |
Kananthai A. On the diamond wave operator |
| author_facet |
Kananthai A. |
| author_sort |
Kananthai A. |
| title |
On the diamond wave operator |
| title_short |
On the diamond wave operator |
| title_full |
On the diamond wave operator |
| title_fullStr |
On the diamond wave operator |
| title_full_unstemmed |
On the diamond wave operator |
| title_sort |
on the diamond wave operator |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77956988284&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43228 |
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1681422338614099968 |