New regularity results for the heat equation in triangular domains

Author:

Benia YassineORCID,Sadallah Boubaker-Khaled

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization,Modeling and Simulation,Numerical Analysis

Reference18 articles.

1. Baderko, E.A.: The solvability of boundary value problems for higher order parabolic equations in domains with curvilinear lateral boundaries. Differ. Uravn. 10(12), 1781–1792 (1976)

2. Benia, Y., Sadallah, B.-K.: Existence of solutions to Burgers equations in domains that can be transformed into rectangles. Electron. J. Differ. Equ. 157, 1–13 (2016)

3. Benia, Y., Sadallah, B.-K.: New regularity results for the heat equation and application to non-homogeneous Burgers equation (submitted)

4. Bonaccorsi, S., Guatteri, G.: A variational approach to evolution problems with variable domains. J. Differ. Equ. 175, 51–70 (2001)

5. De Giorgi, E.: New problems on minimizing movements. In: Baiocchi, C., Lions, J.L. (eds.) Boundary Value Problems for PDEs and Applications, pp. 81–98. Masson, Paris (1993)

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