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Article information
2000 , Volume 5, ¹ 5, p.61-67
Kananthai A., Suantai S., Longani V.
On the weak solutions of the equation related to the Diamond operator
In this paper, we study the Green function of the operator , iterated k-times and defined by
where is the dimension of the space of vectors with complex components and is a nonnegative integer. At first we study the Green function of the operator , and later we apply thir Green function in order to obtain the weak solution of the equation
where [Java Applet] is an unknown called the weak solution for such an equation.
[full text] Classificator Msc2000:- *35A18 Wave front sets
- 35C05 Solutions in closed form
- 35C10 Series solutions, expansion theorems
- 35L25 General theory of higher-order, hyperbolic equations
Keywords: ultrahyperbolic operator, product, Green function, weak solution
Author(s):
Kananthai A
Office: Chiangmai University
Address: Thailand, Chiangmai
E-mail: malamnka@science.cmu.ac.th
Suantai S
Office: Chiangmai University, Department of Mathematics, Thailand
Address: Thailand, Chiangmai
E-mail: malamnka@science.cmu.ac.th
Longani V
Office: Chiangmai University, Department of Mathematics, Thailand
Address: Thailand, Chiangmai
E-mail: malamnka@science.cmu.ac.th
Bibliography link:
Kananthai A., Suantai S., Longani V. On the weak solutions of the equation related to the Diamond operator // Computational technologies. 2000. V. 5. ¹ 5. P. 61-67
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