arrow
Volume 2, Issue 4
The Foundamental Solution of Weighted Cauchy Problem for One-ordered Fuchsian Type Pseudodifferential Operator

Dai Zhengde, Xiang Changhe

J. Part. Diff. Eq.,2(1989),pp.35-46

Published online: 1989-02

Export citation
  • Abstract
In this paper, we begin with introducing two classes of generalized pseudo-homogeneous functions θ^m and T^m studying their basic properties. Then, under the most general hypothesis, we get the global foundamental solution of weighted Cauchy problem for one-order Fuchsian-typc pseudodifferential operator in the frame PsDO whose symbol belongs to C (D, S^m_{1,0}).
  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JPDE-2-35, author = {Dai Zhengde, Xiang Changhe}, title = {The Foundamental Solution of Weighted Cauchy Problem for One-ordered Fuchsian Type Pseudodifferential Operator}, journal = {Journal of Partial Differential Equations}, year = {1989}, volume = {2}, number = {4}, pages = {35--46}, abstract = { In this paper, we begin with introducing two classes of generalized pseudo-homogeneous functions θ^m and T^m studying their basic properties. Then, under the most general hypothesis, we get the global foundamental solution of weighted Cauchy problem for one-order Fuchsian-typc pseudodifferential operator in the frame PsDO whose symbol belongs to C (D, S^m_{1,0}).}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5841.html} }
TY - JOUR T1 - The Foundamental Solution of Weighted Cauchy Problem for One-ordered Fuchsian Type Pseudodifferential Operator AU - Dai Zhengde, Xiang Changhe JO - Journal of Partial Differential Equations VL - 4 SP - 35 EP - 46 PY - 1989 DA - 1989/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5841.html KW - AB - In this paper, we begin with introducing two classes of generalized pseudo-homogeneous functions θ^m and T^m studying their basic properties. Then, under the most general hypothesis, we get the global foundamental solution of weighted Cauchy problem for one-order Fuchsian-typc pseudodifferential operator in the frame PsDO whose symbol belongs to C (D, S^m_{1,0}).
Dai Zhengde, Xiang Changhe. (1989). The Foundamental Solution of Weighted Cauchy Problem for One-ordered Fuchsian Type Pseudodifferential Operator. Journal of Partial Differential Equations. 2 (4). 35-46. doi:
Copy to clipboard
The citation has been copied to your clipboard