A gradient maximum principle of solutions for a quasilinear parabolic equation
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s00013-021-01582-4.pdf
Reference8 articles.
1. Alikakos, N.D., Rostamian, R.: Gradient estimates for degenerate diffusion equations I. Math. Ann. 259, 53–70 (1982)
2. Evans, L.C.: Partial Differential Equations. Graduate Studies in Mathematics, 19 (2nd ed.). American Mathematical Society, Providence, RI (2010)
3. Kahane, C.S.: A gradient estimate for solutions of the heat equation II. Czechoslovak. Math. J. 51, 39–44 (2001)
4. Kim, S.: On a gradient maximum principle for some quasilinear parabolic equations on convex domains. Proc. Amer. Math. Soc. 145, 1203–1208 (2017)
5. Kim, S., Yan, B.S.: Convex integration and infinitely many weak solutions to the Perona–Malik equation in all dimensions. SIAM J. Math. Anal. 47, 2770–2794 (2015)
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