On the strong maximum principle for fully nonlinear degenerate elliptic equations
β Scribed by Martino Bardi; Francesca Da Lio
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 99 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0003-889X
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This research was partially supported by M.U.R.S.T., projects "Problemi nonlineari nell'analisi e nelle applicazioni ΓΏsiche, chimiche e biologiche" and "Analisi e controllo di equazioni di evoluzione deterministiche e stocastiche", and by the European Community, TMR Network "Viscosity solutions and
We extend the refined maximum principle in [H. Berestycki, L. Nirenberg, S.R.S. Varadhan, The principal eigenvalue and the maximum principle for second-order elliptic operators in general domains, Comm. Pure Appl. Math. 47 (1994) 47-92] to degenerate elliptic and parabolic equations with unbounded c
In order to have reliable numerical simulations it is very important to preserve basic qualitative properties of solutions of mathematical models by computed approximations. For scalar second-order elliptic equations, one of such properties is the maximum principle. In our work, we give a short revi