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Cauchy Problem and the Second Mixed Problem for Parabolic Equations with a Dirac Potential Concentrated at Finitely Many Given Points

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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.

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Authors and Affiliations

  1. Belarusian State University, Minsk, 220030, Belarus

    S. N. Baranovskaya & N. I. Yurchuk

Authors
  1. S. N. Baranovskaya
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  2. N. I. Yurchuk
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Correspondence to S. N. Baranovskaya or N. I. Yurchuk.

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Baranovskaya, S.N., Yurchuk, N.I. Cauchy Problem and the Second Mixed Problem for Parabolic Equations with a Dirac Potential Concentrated at Finitely Many Given Points. Diff Equat 55, 348–352 (2019). https://doi.org/10.1134/S001226611903008X

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  • DOI: https://doi.org/10.1134/S001226611903008X

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