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Volume 6, Issue 4
The Hypoellipticity and Parametrices for a Class of Nonprincipal Type LPDOs

Jiang Yaping

J. Part. Diff. Eq.,6(1993),pp.339-348

Published online: 1993-06

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  • Abstract
In this paper, we employ the method of increment operators, by means of the left invariant operators £^{v,s} on nilpotent Lie group G^{d_1+d_2} and the calculus of v- &PsiDOs, to discuss the hypoellipticity for a class of nonprincipal type LPDOs £ on a d_1 + d_2 dimensional manifold M. For those hypoelliptic £ we also construct their parametrices.
  • Keywords

Increment operators LPDOs hypoellipticity parametrices

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COPYRIGHT: © Global Science Press

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@Article{JPDE-6-339, author = {Jiang Yaping}, title = {The Hypoellipticity and Parametrices for a Class of Nonprincipal Type LPDOs}, journal = {Journal of Partial Differential Equations}, year = {1993}, volume = {6}, number = {4}, pages = {339--348}, abstract = { In this paper, we employ the method of increment operators, by means of the left invariant operators £^{v,s} on nilpotent Lie group G^{d_1+d_2} and the calculus of v- &PsiDOs, to discuss the hypoellipticity for a class of nonprincipal type LPDOs £ on a d_1 + d_2 dimensional manifold M. For those hypoelliptic £ we also construct their parametrices.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5720.html} }
TY - JOUR T1 - The Hypoellipticity and Parametrices for a Class of Nonprincipal Type LPDOs AU - Jiang Yaping JO - Journal of Partial Differential Equations VL - 4 SP - 339 EP - 348 PY - 1993 DA - 1993/06 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5720.html KW - Increment operators KW - LPDOs KW - hypoellipticity KW - parametrices AB - In this paper, we employ the method of increment operators, by means of the left invariant operators £^{v,s} on nilpotent Lie group G^{d_1+d_2} and the calculus of v- &PsiDOs, to discuss the hypoellipticity for a class of nonprincipal type LPDOs £ on a d_1 + d_2 dimensional manifold M. For those hypoelliptic £ we also construct their parametrices.
Jiang Yaping. (1993). The Hypoellipticity and Parametrices for a Class of Nonprincipal Type LPDOs. Journal of Partial Differential Equations. 6 (4). 339-348. doi:
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