A note on the classical weak and strong maximum principles for linear parabolic partial differential inequalities

Author:

Needham David John,Meyer John Christopher

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Reference8 articles.

1. Besala P.: An extension of the strong maximum principle for parabolic equations. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 19, 1003–1006 (1971)

2. Friedman A.: Remarks on the maximum principle for parabolic equations and its applications. Pac. J. Math. 8, 201–211 (1958)

3. Hopf E.: Elementare Bemerkungen über die Lösungen partieller Differentialgleichungen zweiter Ordnung vom elliptischen Typus. Sitzungsber. d. Preuss. Akad. d. Wiss. 19, 147–152 (1927)

4. Nirenberg L.: A strong maximum principle for parabolic equations. Commun. Pure Appl. Math. 6, 167–177 (1953)

5. Picone M.: Sul problema della propagazione del calore in un mezzo privo di frontiera, conduttore, isotrope e omogeneo. Math. Ann. 101, 701–712 (1929)

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