Email this article Cauchy Problem and the Second Mixed Problem for Parabolic Equations with a Dirac Potential Concentrated at Finitely Many Given Points
- Authors: Baranovskaya S.N.1, Yurchuk N.I.1
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Affiliations:
- Belarusian State University
- Issue: Vol 55, No 3 (2019)
- Pages: 348-352
- Section: Partial Differential Equation
- URL: https://journals.rcsi.science/0012-2661/article/view/154967
- DOI: https://doi.org/10.1134/S001226611903008X
- ID: 154967
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Abstract
We prove the existence and uniqueness of a classical solution of the Cauchy problem and the second mixed problem for parabolic equations whose potential is a linear combination of values of this solution at finitely many prescribed points.
About the authors
S. N. Baranovskaya
Belarusian State University
Author for correspondence.
Email: bramka777@gmail.com
Belarus, Minsk, 220030
N. I. Yurchuk
Belarusian State University
Author for correspondence.
Email: yurchuk@bsu.by
Belarus, Minsk, 220030
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