On classification and invariants of second order non-parabolic linear partial differential equations in two variables
The paper deals with second order abstract linear partial differential equations (LPDE) over a partial differential field with two commuting differential operators. In terms of usual differential equations the main content can be presented as follows. The classification and invariants problems for...
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| Format: | Conference or Workshop Item |
| Language: | English English English |
| Published: |
AIP
2018
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/69402/ http://irep.iium.edu.my/69402/ http://irep.iium.edu.my/69402/ http://irep.iium.edu.my/69402/8/69402%20On%20classification%20and%20invariants%20of%20second%20order%20non-parabolic%20linear%20partial%20differential.pdf http://irep.iium.edu.my/69402/9/69402%20On%20classification%20and%20invariants%20of%20second%20order%20SCOPUS.pdf http://irep.iium.edu.my/69402/20/69402_On%20classification%20and%20invariants%20of%20second_WOS.pdf |
| Summary: | The paper deals with second order abstract linear partial differential equations (LPDE) over a partial differential
field with two commuting differential operators. In terms of usual differential equations the main content can be presented as
follows. The classification and invariants problems for second order LPDEs with respect to transformations
x = x(x ;h); y = y(x ;h); u = h(x;y)v(x ;h);
where x;y are independent and u is the dependent variable of the LPDE, are considered. Solutions to these problems are given
for different subclasses of non-parabolic LPDE which appear naturally in the equivalence problem of LPDE. A criterion for
reducibility of such LPDE to LPDE with constant coefficients is offered as well. |
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