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dc.contributor.authorJakobsen, Espen R. ( Orcid Icon 0000-0003-4432-1589 )
dc.contributor.authorKarlsen, Kenneth H. ( Orcid Icon 0000-0003-3375-2084 )
dc.date.accessioned2020-08-05T19:37:28Z
dc.date.available2020-08-05T19:37:28Z
dc.date.issued2002-05-06
dc.identifier.citationJakobsen, E. R., & Karlsen, K. H. (2002). Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations. Electronic Journal of Differential Equations, 2002(39), pp. 1-10.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/12313
dc.description.abstractUsing the maximum principle for semicontinuous functions [3,4], we prove a general "continuous dependence on the nonlinearities" estimate for bounded Holder continuous viscosity solutions of fully nonlinear degenerate elliptic equations. Furthermore, we provide existence, uniqueness, and Holder continuity results for bounded viscosity solutions of such equations. Our results are general enough to encompass Hamilton-Jacobi-Bellman-Isaacs's equations of zero-sum, two-player stochastic differential games. An immediate consequence of the results obtained herein is a rate of convergence for the vanishing viscosity method for fully nonlinear degenerate elliptic equations.en_US
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.language.isoen_USen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectFully nonlinear degenerate elliptic equationen_US
dc.subjectViscosity solutionen_US
dc.subjectHamilton-Jacobi-Bellman-Isaacs equationen_US
dc.subjectContinuous dependence estimateen_US
dc.subjectVanishing viscosity methoden_US
dc.subjectConvergence rateen_US
dc.titleContinuous Dependence Estimates for Viscosity Solutions of Fully Nonlinear Degenerate Elliptic Equationsen_US
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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