Peculiarities of the Fundamental Solution of Parabolic Systems with a Negative Genus
<p id="p1">For the parabolic Shilov-type systems with a negative genus, a method of studying the properties of a fundamental solution of the Cauchy problem is proposed. This method allows to improve the known estimates of Zhitomirskii fundamental solution for systems with dissipative parabolicity an...
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| Main Author: | |
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| Format: | Book Chapter |
| Language: | English |
| Published: |
IntechOpen
2020
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| Subjects: | |
| Online Access: | https://www.intechopen.com/chapters/74411 |
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| Summary: | <p id="p1">For the parabolic Shilov-type systems with a negative genus, a method of studying the properties of a fundamental solution of the Cauchy problem is proposed. This method allows to improve the known estimates of Zhitomirskii fundamental solution for systems with dissipative parabolicity and describe the features of this solution more accurately. It opens wide possibilities for constructing a classical theory of the Cauchy problem for parabolic systems with negative genus and variable coefficients.</p> |
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| ISBN: | 978-1-83968-656-6 |
| DOI: | 10.5772/intechopen.95024 |