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Die erste Randwertaufgabe und das Cauchy-Problem für parabolische Differentialgleichungen mit unstetigen Anfangswerten. (German) Zbl 0179.14803


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[1] Aronson, D. G.: Uniqueness of positive weak solutions of second-order parabolic equations. Ann. Pol. Math.16 285-303 (1965). · Zbl 0137.29403
[2] Friedman, A.: Partial differential equations of parabolic type. Englewood Cliffs, N.J.: Prentice-Hall 1964. · Zbl 0144.34903
[3] Il’in, A. M., A. S. Kalashnikov and O. A. Oleinik: Linear equations of the second order of parabolic type. Uspechi Math. Nauk17, 3-146 (1962). Russian Math. Surveys17, 1-143 (1962).
[4] Krzyzanski, M.: Sur l’équation aux dérivées partielles de la diffusion. Ann. Soc. Polon. Math.23, 95-111 (1950). · Zbl 0040.05201
[5] Lu Li-Jiang: A uniqueness theorem for the first boundary value problems of linear elliptic and parabolic equations with discontinuous boundary values. Acta Math. Sinica15, 3 372-385 (1965). · Zbl 0154.36603
[6] Oleinik, O. A. and S. N. Krushkov: Quasi-linear second-order parabolic equations with many independent variables. Uspechi Mat. Nauk16, 115-156 (1961). Russian Math. Surveys16, 105-146 (1961).
[7] Walter, W. Differential-und Integral-Ungleichungen. Springer Tracts in Natural Philosophy. Berlin-Heidelberg-New York: Springer 1964.
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