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Representation of a differential system

✍ Scribed by D Eggert; P Varaiya


Publisher
Elsevier Science
Year
1968
Tongue
English
Weight
712 KB
Volume
4
Category
Article
ISSN
0022-0396

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## Abstract We study the existence of solutions of the general elliptic system of partial differential equations in the space where the principal part may be represented with the help of a CLIFFORDalgebra 𝔄. We construct an integral representation and discuss the properties of the kernels.

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Representation of zero curvature for the system of essentially nonlinear partial differential equations X~,z~ = exp(y,r~=lkc~3x3), 1 <<, ~ <<, r, with an arbitrary numeral matrix k is constructed in an explicit form. On the basis of this representation we give an invariant integration method for the