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On the total variation of solutions of parabolic equations

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Bibliography

  1. Friedman, A.: Partial differential equations of parabolic type. Englewood Cliffs, N.J.: Prentice-Hall 1964.

    Google Scholar 

  2. —— Remarks on the maximum principle for parabolic equations. Pacific J. Math.8, 201–211 (1958).

    Google Scholar 

  3. Il'in, A. N., A. S. Kalashnikov, and O. A. Oleinik: Second order linear equations of parabolic type. Uspekhi Mat. Nauk. S.S.S.R.17, 3–146 (1962). Translated in Russian Math. Surveys17, no. 3, 1–143 (1962).

    Google Scholar 

  4. Karlin, S.: Total positivity, absorption probabilities, and applications. Transactions Amer. Math. Soc.111, 33–107 (1964).

    Google Scholar 

  5. Oleinik, O. A.: Construction of a generalized solution of the Cauchy problem for a quasilinear equation of first order by the introduction of “Vanishing Viscosity.” Uspekhi Mat. Nauk. S.S.S.R.14, no. 2, 159–164 (1959). Translated as Amer. Math. Soc. Trans., vol.33, ser. 2.

    Google Scholar 

  6. Vyborny, R.: The properties of solutions of certain boundary value problems for parabolic equations. Dokl. Akad. Nauk.117, 4, 563–565 (1957) (Russian).

    Google Scholar 

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Sattinger, D.H. On the total variation of solutions of parabolic equations. Math. Ann. 183, 78–92 (1969). https://doi.org/10.1007/BF01361263

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