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Showing 1 to 20 of 40 for “"Boundary values."”.
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Boundary values and restrictions of generalized functions with applications
Thesis. 1976. Ph.D.--Massachusetts Institute of Technology. Dept. of Mathematics.
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On the parametrization of self-adjoint extensions of singular Sturm-Liouville operators
… operator are parametrized using generalized boundary values defined by fixed choices of special nonoscillatory solutions, called principal and nonprincipal solutions. However, principal and nonprincipal solutions are not unique, and different choices yield different generalized boundary …
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Poletsky-Stessin Hardy Spaces on the Unit Disk
… have a remarkable property: to know the values of a holomorphic function on $\mathbb{D}$ it suffices to know only its values on the unit circle $\mathbb{T}$. However not all holomorphic functions on $\mathbb{D}$ are defined on $\mathbb{T}$ and the major problem of establishing such values …
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Initial and boundary value problems in two and three dimensions
This thesis: (a) presents the solution of several boundary value problems (BVPs) for the Laplace and the modified Helmholtz equations in the interior of an equilateral triangle; (b) presents the solution of the heat equation in the interior of an equilateral triangle; (c) computes the eigenvalues …
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Integrable Evolution Partial Differential Equations: Multidimensions and Dirichlet-to-Neumann Maps
… PDEs on the half-line with time-periodic boundary conditions For a well-posed boundary value problem, a certain number of boundary values must be prescribed as boundary conditions, while the rest of the boundary values are unknown. The task of determining the unknown boundary values in …
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MEC3DE - um programa para análise elástica tridimensional com o método dos elementos de contorno
… analysis of three-dimensional problems using the boundary element method coupled with the fundamental solution due to Kelvin. The computer program developed allows for triangular and quadrilateral elements, with constant, linear and quadratic interpolation. In addition, the elements can be …
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Applications of Hodograph Transformation to Hydrodynamic Problems Influenced by Gravitation
… of subdividing the hodograph and matching their boundary values along the cut can be extended to problems with more complicated configurations.
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Multimetric assessment of freshwater macroinvertebrate communities in Flanders, Belgium
… requirements of the WFD. To ensure that boundary values for the national biological assessment methods are comparable along all member states in Europe, regional intercalibration exercises were envisaged by the WFD for each quality element and for each category of water body. For river …
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Análise de problemas não lineares de transferência de calor pelo método dos elementos de contorno
… of non-linear heat conduction problems by the boundary element method (B.E.M.); non linearities here considered refer to the temperature dependence of the conductivity and to the non-linear boundary and interface conditions. The B.E.M. is employed together with the Kirchhoff transform. By …
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Black holes and solitons in string theory and M-theory: a low energy limit analysis
… locally AdS5 solutions with nontrivial boundary conditions for the gauge fields and their uplifts to type IIB supergravity. There exists a BPS limit for a specific relation between the boundary values of the gauge fields, leading to 1/8-BPS configurations. We study the phase diagram of …
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The radon split of radially acting linear integral operators on H2 with uniformly bounded double norms
… -functions f always possess a.e. unique boundary values [Special characters omitted.] [Special characters omitted.] as [Special characters omitted.] from within [Special characters omitted.] . These boundary values are also angular limit functions in the [Special characters omitted.] …
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Mappings Between Annuli of Smallest p-Harmonic Energy
… in $\mathbb{R}^n$ are allowed to slip on the boundary, without prescribing boundary values. For annuli $\A = \A(r, R)$ and $\A^* = \A(r_*, R_*)$, we seek the traction-free minimizer of the $p$-harmonic energy among homeomorphisms in Sobolev class $W^{1, p}(\A, \A^*)$. For such a mapping, the …
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Assessing the relationship between recurring and nonrecurring traffic congestion
… are described for the first time in this paper. Boundary values of various fractal dimensions are calculated for different HCM freeway LOS designations. A state of flow equation established in the model represents both microscopic and macroscopic aspects of a traffic stream. Using the same …
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Eigenvalue comparison theorems for certain boundary value problems and positive solutions for a fifth order singular boundary value problem.
Comparison of smallest eigenvalues for certain two point boundary value problems for a fifth order linear differential equation are first obtained. The results are extended to (2n+1)-order and (3n+2)-order boundary value problems. Methods used for these results involve the theory of $u_0$-positive …
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Infinitely Many Solutions to Asymmetric, Polyharmonic Dirichlet Problems
… principle of Bolle on the behavior of critical values under perturbation, and the variational principle of Tanaka on the existence of critical points of large augmented Morse index. In chapter 3 we use the framework created by Birman and Solomyak for deriving eigenvalue estimates to find …
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Development of a reverse flood routing technique using the implicit method
… by a rectangular grid of points at which the values of the variables, discharge and depth, were computed using an implicit, finite difference scheme. A discharge hydrograph and rating curve supplied the initial values of discharge and depth along the downstream column of grid points. Boundary …
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Extremal functions related to convexity and martingales
… of real-valued biconvex functions satisfying a boundary condition on a product of the unit ball with itself, with a suitable norm in the plane. We want to maximize the biconvex function at a point in the domain where the second component is fixed and therefore we can consider the biconvex …
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Automatic Software Test Data Generation from Z Specifications Using Evolutionary Algorithms
… inputs. Test cases are generated for the four boundary values and an intermediate value of the input search domain. For integer input variables, high quality test data sets can be generated on the search domain boundary and on each side of the boundary for both valid and invalid tests. Adaptive …
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