Volume 6, Issue 2
First Order System of Equations of Mixed Type and Second Order Equation of Mixed Type

Sun Hesheng

J. Part. Diff. Eq.,6(1993),pp.155-163

Published online: 1993-06

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  • Abstract
A system of first order equations of mixed type, which may be reduced to a general second order equation of mixed type, is considered. Uniqueness of solution to the generalized Tricomi problem is proved by the method of auxiliary function. Existence of H¹ strong solution is based on a characteristic problem and is proved by the Fredholm's alternative properties.
  • Keywords

System of mixed type generalized Tricomi problem auxiliary function Fredholm's alternative properties

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@Article{JPDE-6-155, author = {Sun Hesheng}, title = {First Order System of Equations of Mixed Type and Second Order Equation of Mixed Type}, journal = {Journal of Partial Differential Equations}, year = {1993}, volume = {6}, number = {2}, pages = {155--163}, abstract = { A system of first order equations of mixed type, which may be reduced to a general second order equation of mixed type, is considered. Uniqueness of solution to the generalized Tricomi problem is proved by the method of auxiliary function. Existence of H¹ strong solution is based on a characteristic problem and is proved by the Fredholm's alternative properties.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5707.html} }
TY - JOUR T1 - First Order System of Equations of Mixed Type and Second Order Equation of Mixed Type AU - Sun Hesheng JO - Journal of Partial Differential Equations VL - 2 SP - 155 EP - 163 PY - 1993 DA - 1993/06 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5707.html KW - System of mixed type KW - generalized Tricomi problem KW - auxiliary function KW - Fredholm's alternative properties AB - A system of first order equations of mixed type, which may be reduced to a general second order equation of mixed type, is considered. Uniqueness of solution to the generalized Tricomi problem is proved by the method of auxiliary function. Existence of H¹ strong solution is based on a characteristic problem and is proved by the Fredholm's alternative properties.
Sun Hesheng. (1970). First Order System of Equations of Mixed Type and Second Order Equation of Mixed Type. Journal of Partial Differential Equations. 6 (2). 155-163. doi:
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