Literatur
Il'in, A.M., Kalashnikov, A.S., Oleinik, O.A.: Linear equations of the second order of parabolic type. Usp. Mat. Nauk.17, 3–146 (1962), Russian Math. Surveys17, 1–143 (1962)
Krzyżański, M.: Evaluations des solutions de l'équation aux dérivées partielles du type parabolique, déterminées dans un domaine non borné. Ann. Polon. Math.4, 93–97 (1957)
Meyers, N., Serrin, J.: The exterior Dirichlet problem for second order elliptic partial differential equations. J. Math. Mech.9, 513–538 (1960)
Nickel, K.: New results on strongly coupled systems of parabolic differential equations. (to appear)
Redheffer, R.M.: Die Collatzsche Monotonie bei Anfangswertproblemen. Arch. Rat. Mech. and Anal.14, 196–212 (1963)
Redheffer, R.M., Walter, W.: The total variation of solutions of parabolic differential equations and a maximum principle in unbounded domains. Math. Ann.209, 57–62 (1974)
Redheffer, R.M.: Uniqueness, stability and error estimation for parabolic systems containing functionals. To appear
Szarski, J.: Strong maximum principle for non-linear parabolic differential-functional inequalities in arbitrary domains. Ann. Polon. Math.31, 197–203 (1975)
Walter, W.: Differential and integral inequalities. Ergebnisse der Mathematik und ihrer Grenzgebiete, Bd. 55. Berlin, Heidelberg, New York: Springer 1970
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Redheffer, R., Walter, W. Das Maximumprinzip in unbeschränkten Gebieten für parabolische Ungleichungen mit Funktionalen. Math. Ann. 226, 155–170 (1977). https://doi.org/10.1007/BF01360866
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DOI: https://doi.org/10.1007/BF01360866