Existence Results for Boundary Problems for Uniformly Elliptic and Parabolic Fully Nonlinear Equations

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dc.contributor.authorCrandall, M. G.
dc.contributor.authorKocan, M.
dc.contributor.authorLions, P. L.
dc.contributor.authorSwiech, A.
dc.date.accessioned2019-11-12T20:51:44Z
dc.date.available2019-11-12T20:51:44Z
dc.date.issued1999-07-01
dc.description.abstractWe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent22 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCrandall, M. G., Kocan, M., Lions, P. L., & Swiech, A. (1999). Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations. <i>Electronic Journal of Differential Equations, 1999</i>(24), pp. 1-20.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/8797
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectUniformly elliptic and parabolic equations
dc.subjectViscosity solutions
dc.subjectGood solutions
dc.subjectExterior cone condition
dc.subjectBarrier functions
dc.titleExistence Results for Boundary Problems for Uniformly Elliptic and Parabolic Fully Nonlinear Equationsen_US
dc.typeArticle

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