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This article is cited in 7 scientific papers (total in 7 papers)
The parametrix of elliptic operators with infinitely many independent variables
M. I. Vishik
Abstract:
Among the differential equations with infinitely many independent variables most attention has been paid to second-order parabolic equations. The paper begins with a rief review of the results obtained for the Cauchy problem for such equations. The parametrix is constructed for a ertain class of elliptic differential operators with infinitely many variables. This parametrix is generated by a easure in the corresponding function space. A omposition formula for an elliptic differential operator and its parametrix is proved. Applications are given to the theory of the solubility of elliptic equations with infinitely many variables.
Received: 03.12.1970
Citation:
M. I. Vishik, “The parametrix of elliptic operators with infinitely many independent variables”, Uspekhi Mat. Nauk, 26:2(158) (1971), 155–174; Russian Math. Surveys, 26:2 (1971), 91–112
Linking options:
https://www.mathnet.ru/eng/rm5190https://doi.org/10.1070/RM1971v026n02ABEH003826 https://www.mathnet.ru/eng/rm/v26/i2/p155
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Abstract page: | 514 | Russian version PDF: | 173 | English version PDF: | 13 | References: | 66 | First page: | 3 |
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