Maximal and minimal solutions of second order elliptic and parabolic equations in non-divergence form with measurable coefficients
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- by M. Cristina Cerutti and Anna Piro Grimaldi PDF
- Proc. Amer. Math. Soc. 145 (2017), 4773-4782 Request permission
Abstract:
In this paper we will prove that the supremum and infimum of good solutions of the Dirichlet problem for elliptic and parabolic equations in non-divergence form with measurable coefficients, are good solutions to the same problem.References
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Additional Information
- M. Cristina Cerutti
- Affiliation: Dipartimento di Matematica - Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milano-Italy
- MR Author ID: 309737
- Email: cristina.cerutti@polimi.it
- Anna Piro Grimaldi
- Affiliation: Dipartimento di Matematica dell’Università di Cagliari, Viale Merello, 94, 09100 Cagliari-Italy
- MR Author ID: 77060
- Email: grimaldi@unica.it
- Received by editor(s): May 20, 2009
- Received by editor(s) in revised form: November 4, 2016
- Published electronically: August 1, 2017
- Communicated by: Tatiana Toro
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 4773-4782
- MSC (2010): Primary 35J15, 35J25, 35K10, 35K20
- DOI: https://doi.org/10.1090/proc/13577
- MathSciNet review: 3691994