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Zapiski Nauchnykh Seminarov POMI, 2022, Volume 519, Pages 229–263
(Mi znsl7308)
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Estimates of solutions to the noncoercive Dirichlet problem for a second order elliptic equation in divergence form with drift from a Kato class
M. D. Surnachev Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
Abstract:
For a second order linear elliptic equation with uniformly elliptic principal part in divergence form and drift from a Kato–Stummel type class we establish the unique solvability and estimates of solutions of the corresponding noncoercive Dirichlet problem.
Key words and phrases:
noncoercive Dirichlet problem, Kato–Stummel classes, unique solvability, stationary convection-diffusion equation, drift.
Received: 01.12.2022
Citation:
M. D. Surnachev, “Estimates of solutions to the noncoercive Dirichlet problem for a second order elliptic equation in divergence form with drift from a Kato class”, Boundary-value problems of mathematical physics and related problems of function theory. Part 50, Zap. Nauchn. Sem. POMI, 519, POMI, St. Petersburg, 2022, 229–263
Linking options:
https://www.mathnet.ru/eng/znsl7308 https://www.mathnet.ru/eng/znsl/v519/p229
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Statistics & downloads: |
Abstract page: | 77 | Full-text PDF : | 39 | References: | 15 |
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