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THE CAUCHY PROBLEM FOR AN NONLINEAR WAVE EQUATION
- Authors: Artemeva M.V1,2, Korpusov M.O1,2
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Affiliations:
- Lomonosov Moscow State University
- People Friendship University of Russia named after Patrice Lumumba
- Issue: Vol 60, No 10 (2024)
- Pages: 1299-1311
- Section: PARTIAL DERIVATIVE EQUATIONS
- URL: https://manmiljournal.ru/0374-0641/article/view/649597
- DOI: https://doi.org/10.31857/S0374064124100014
- EDN: https://elibrary.ru/JUDMOQ
- ID: 649597
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Abstract
A heat-electric (1+ 1)-dimensional model of semiconductor heating in an electric field is considered. For the corresponding Cauchy problem, the existence of a classical solution that is short-lived in time is proved, a global a priori estimate is obtained in time, and a result is obtained about the absence of even a classical solution local in time.
About the authors
M. V Artemeva
Lomonosov Moscow State University; People Friendship University of Russia named after Patrice Lumumba
Email: artemeva.mv14@physics.msu.ru
Москва
M. O Korpusov
Lomonosov Moscow State University; People Friendship University of Russia named after Patrice Lumumba
Email: korpusov@gmail.com
Russia
References
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