Existence Results for Boundary Problems for Uniformly Elliptic and Parabolic Fully Nonlinear Equations
| dc.contributor.author | Crandall, M. G. ( ) | |
| dc.contributor.author | Kocan, M. ( ) | |
| dc.contributor.author | Lions, P. L. ( ) | |
| dc.contributor.author | Swiech, A. ( ) | |
| dc.date.accessioned | 2019-11-12T20:51:44Z | |
| dc.date.available | 2019-11-12T20:51:44Z | |
| dc.date.issued | 1999-07-01 | |
| dc.identifier.citation | Crandall, M. G., Kocan, M., Lions, P. L., & Swiech, A. (1999). Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations. Electronic Journal of Differential Equations, 1999(24), pp. 1-20. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/8797 | |
| dc.description.abstract | We study existence of continuous weak (viscosity) solutions of Dirichlet and Cauchy-Dirichlet problems for fully nonlinear uniformly elliptic and parabolic equations. Two types of results are obtained in contexts where uniqueness of solutions fails or is unknown. For equations with merely measurable coefficients we prove solvability of the problem, while in the continuous case we construct maximal and minimal solutions. Necessary barriers on external cones are also constructed. | en_US |
| dc.format | Text | |
| dc.format.extent | 22 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Southwest Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Uniformly elliptic and parabolic equations | en_US |
| dc.subject | Viscosity solutions | en_US |
| dc.subject | Good solutions | en_US |
| dc.subject | Exterior cone condition | en_US |
| dc.subject | Barrier functions | en_US |
| dc.title | Existence Results for Boundary Problems for Uniformly Elliptic and Parabolic Fully Nonlinear Equations | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
