An application of global gradient estimates in Lorentz-Morrey spaces for the existence of stationary solutions to degenerate diffusive Hamilton-Jacobi equations

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dc.contributor.authorTran, Minh-Phuong
dc.contributor.authorNguyen, Thanh-Nhan
dc.date.accessioned2021-12-06T16:38:04Z
dc.date.available2021-12-06T16:38:04Z
dc.date.issued2019-11-11
dc.description.abstractIn mathematics and physics, the Kardar-Parisi-Zhang equation or quasilinear stationary version of a time-dependent viscous Hamilton-Jacobi equation in growing interface and universality classes is also known as the quasilinear Riccati type equation. The existence of solutions to this type of equations still remains an interesting open problem. In previous studies [36,38], we obtained global bounds and gradient estimates for quasilinear elliptic equations with measure data. The main goal of this article is to obtain the existence of a renormalized solution to the quasilinear stationary solution for the degenerate diffusive Hamilton-Jacobi equation with finite measure data in Lorentz-Morrey spaces.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationTran, M. P., & Nguyen, T. N. (2019). An application of global gradient estimates in Lorentz-Morrey spaces for the existence of stationary solutions to degenerate diffusive Hamilton-Jacobi equations. <i>Electronic Journal of Differential Equations, 2019</i>(118), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15012
dc.language.isoen
dc.publisherTexas 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, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectDegenerate diffusive Hamilton-Jacobi equation
dc.subjectStationary solution
dc.subjectQuasilinear Riccati type equation
dc.subjectLorentz-Morrey space
dc.subjectUniformly thickness
dc.titleAn application of global gradient estimates in Lorentz-Morrey spaces for the existence of stationary solutions to degenerate diffusive Hamilton-Jacobi equations
dc.typeArticle

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