Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 10 of 10 for “"Neumann problem"”.
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Regularity and boundary variations for the Neumann problem
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1997.
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Singularities and multiplier algorithms for real hypersurfaces
… to generate subelliptic multipliers for the ∂¯-Neumann problem. For a domain defined by a real polynomial, we prove that Kohn’s algorithm is effective in terms of the degree. We then give geometric conditions under which effectiveness results in the holomorphic setting extend to the real …
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Supercritical Semi-Linear Elliptic Problems Using Variational Principles
… The work covers two supercritical elliptic problems with different boundary conditions. First, it establishes the existence of a nontrivial solution for a Neumann problem in the unit ball, where the nonlinearity f(u) has a continuous primitive. Then, the dissertation explores a Dirichlet …
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Numerical solution and spectrum of boundary-domain integral equations
… Equations (LBDIDEs) related to the Neumann and Dirichlet boundary value problem for a scalar elliptic PDE with variable coefficient is discussed in this thesis. The BDIE and LBDIE related to Neumann problem are reduced to a uniquely solvable one by adding an appropriate perturbation …
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The Navier-Stokes equations for elliptic quasicomplexes
… gives a good motivation for the study of the Neumann problem after Spencer for elliptic quasicomplexes. Such a study is also included in the work.We start this work by discussion of Lamé equations within the context of elliptic quasicomplexes on compact manifolds with boundary. The …
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Developments and extensions of Roth's method of double Fourier series with applications to the solution of electromagnetic field problems
… we consider the solution of steady state problems associated with insulated conductors in rectangular slots. Roth's method has two main disadvantages namely the slow rate of convergence of the double Fourier series and the restrictive form of the allowable boundary conditions. A combined …
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Estimates For Solutions Of Elliptic Partial Differential Equations With Explicit Constants And Aspects Of The Finite Element Method For Second-Order Equations
… Poorer results are obtained for more general problems. Local estimates for solutions of homogeneous equations satisfying homogeneous boundary conditions are also established. These are shown to be independent of p. Now consider the finite element approximation of a solution of a second-order …
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CLASSIFICATION RESULTS FOR SEMILINEAR ELLIPTIC EQUATIONS
This thesis addresses classification problems of solutions to semilinear elliptic equations, with a particular focus on the study of symmetry and rigidity results. The thesis is divided into four chapters. In Chapter 1 we consider solutions to some semilinear elliptic equations on complete …
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Brownian motion and multidimensional decision making
… theory and path integrals. Part II, "The problem of alternatives", considers parallel investment in alternative technologies or drugs developed over time, where there can be only one winner. Parallel investment accelerates the search for the winner, and increases the winner's expected …