Generalized heat kernel related to the operator Lkm and spectrum
In this paper, we study the equation with the initial condition u(x, 0) = f(x) for x ∈ R{double-struck}n, where the operator Lkm is defined by, p + q = n is the dimension of the space R{double-struck}n, u(x, t) is an unknown function for (x, t) = (x1, x2,...,xn, t) ∈ R{double-struck}n × (0,∞), f(x)...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Journal |
| Published: |
2018
|
| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77953342460&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50994 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Chiang Mai University |
| id |
th-cmuir.6653943832-50994 |
|---|---|
| record_format |
dspace |
| spelling |
th-cmuir.6653943832-509942018-09-04T04:49:32Z Generalized heat kernel related to the operator Lkm and spectrum T. Panyatip A. Kananthai Mathematics In this paper, we study the equation with the initial condition u(x, 0) = f(x) for x ∈ R{double-struck}n, where the operator Lkm is defined by, p + q = n is the dimension of the space R{double-struck}n, u(x, t) is an unknown function for (x, t) = (x1, x2,...,xn, t) ∈ R{double-struck}n × (0,∞), f(x) is a given generalized function, k and m are a positive integer and c is a positive constant. We obtain the solution of such equation which is related to the spectrum and the kernel. Moreover, such the kernel has interesting properties and also related to the kernel of an extension of the heat equation. 2018-09-04T04:49:32Z 2018-09-04T04:49:32Z 2010-06-16 Journal 1312885X 2-s2.0-77953342460 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77953342460&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50994 |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| country |
Thailand |
| collection |
CMU Intellectual Repository |
| topic |
Mathematics |
| spellingShingle |
Mathematics T. Panyatip A. Kananthai Generalized heat kernel related to the operator Lkm and spectrum |
| description |
In this paper, we study the equation with the initial condition u(x, 0) = f(x) for x ∈ R{double-struck}n, where the operator Lkm is defined by, p + q = n is the dimension of the space R{double-struck}n, u(x, t) is an unknown function for (x, t) = (x1, x2,...,xn, t) ∈ R{double-struck}n × (0,∞), f(x) is a given generalized function, k and m are a positive integer and c is a positive constant. We obtain the solution of such equation which is related to the spectrum and the kernel. Moreover, such the kernel has interesting properties and also related to the kernel of an extension of the heat equation. |
| format |
Journal |
| author |
T. Panyatip A. Kananthai |
| author_facet |
T. Panyatip A. Kananthai |
| author_sort |
T. Panyatip |
| title |
Generalized heat kernel related to the operator Lkm and spectrum |
| title_short |
Generalized heat kernel related to the operator Lkm and spectrum |
| title_full |
Generalized heat kernel related to the operator Lkm and spectrum |
| title_fullStr |
Generalized heat kernel related to the operator Lkm and spectrum |
| title_full_unstemmed |
Generalized heat kernel related to the operator Lkm and spectrum |
| title_sort |
generalized heat kernel related to the operator lkm and spectrum |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77953342460&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50994 |
| _version_ |
1681423689779773440 |