Results 11 to 20 of about 2,277 (262)
On general boundary-value problems for elliptic equations [PDF]
Sbornik: Mathematics, 1998 Let \(M\) be a compact manifold with a smooth boundary \(X:=\partial M\). A ``general'' boundary value problem in the sense of the title is given by an elliptic operator \(\widehat D: H^s(M,E)\to H^{s-m}(M,F)\) of order \(m\) (\(E\), \(F\) are vector bundles over \(M\) and \(H^s\) denote \(L^2\)-Sobolev spaces) and a boundary operator \(\widehat B ...
Schulze, Bert-Wolfgang (Prof. Dr.) +2 more
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Overdetermined boundary value problems with strongly nonlinear elliptic PDE
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We consider the strongly nonlinear elliptic Dirichlet problem in a connected bounded domain, overdetermined with the constant Neumann condition $F(\nabla u)=c$ on the boundary. Here $F$ is convex and positively homogeneous of degree 1, and its polar $F^
Boqiang Lv, Fengquan Li, Weilin Zou
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Pointwise Inequalities for Elliptic Boundary Value Problems [PDF]
Journal of Mathematical Sciences, 2015 8 ...
Luo, G., Maz'ya, V. G.
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Degenerate Differential Operators with Parameters
Abstract and Applied Analysis, 2007 The nonlocal boundary value problems for regular degenerate differential-operator equations with the parameter are studied. The principal parts of the appropriate generated differential operators are non-self-adjoint.
Veli B. Shakhmurov
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Singular Integral Operators and Elliptic Boundary-Value Problems. I
Современная математика: Фундаментальные направления, 2017 The book consists of three Parts I-III and Part I is presented here. In this book, we develop a new approach mainly based on the authors papers. Many results are published here for the first time. Chapter 1 is introductory.
Alexandre P Soldatov
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Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
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Potentials for the singular elliptic equations and their application
Results in Applied Mathematics, 2020 Potential theory has played a paramount role in both analysis and computation for boundary value problems for elliptic equations. In the middle of the last century, a potential theory was constructed for a two-dimensional elliptic equation with one ...
T.G. Ergashev
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Mathematics, 2023 Elliptic boundary value problems (BVPs) are widely used in various scientific and engineering disciplines that involve finding solutions to elliptic partial differential equations subject to certain boundary conditions.
Chih-Yu Liu, Cheng-Yu Ku
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Fostering Innovation: Streamlining Magnetocaloric Materials Research by Digitalization
Advanced Engineering Materials, EarlyView.Magnetocaloric cooling (MCE) is an environmentally friendly refrigeration method with great potential. Optimizing MCE materials involves the preparation and screening of large quantities of samples, which in turn generates a large amount of data. A digitalization approach is presented that uses ontologies, knowledge graphs, and digital workflows to ...
Simon Bekemeier +17 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010 The basic boundary value problems for semilinear equations of elliptic type with a spectral parameter and discontinuous nonlinearity are considered in a bounded domain with a sufficiently smooth boundary.
Dmitrij К Potapov
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