PARABOLIC BOUNDARY VALUE PROBLEMS IN A PIECEWISE HOMOGENEOUS WEDGE-SHAPED SOLID CYLINDER

Degenerate Parabolic Initial-Boundary Value Problems*

in Hilbert space and their realizations in function spaces as initial-boundary value problems for partial differential equations which may contain degenerate or singular coefficients. The Cauchy problem consists of solving (1.1) subject to the initial condition Jdu(0) = h. We are concerned with the case where the solution is given by an analytic semigroup; it is this sense in which the Canchy p...

Initial - Boundary Value Problems for Parabolic Equations

The Multiplicity of Solutions in Non-homogeneous Boundary Value Problems the Multiplicity of Solutions in Non-homogeneous Boundary Value Problems

We use a method recently devised by Bolle B] to establish the existence of an innnite number of solutions for various non-homogeneous boundary value problems. In particular, we consider second order systems, Hamiltonian systems as well as semi-linear partial diierential equations. The non-homogeneity can originate in the equation but also from the boundary conditions. The results are much more ...

Boundary Detection in Piecewise Homogeneous Textured Images

1 I n t r o d u c t i o n The problem of texture analysis (recognition and segmentation) has traditionally been approached by computing locally defined vector-valued "descriptors" of each region in the image. The texture recognition problem is thus reduced to a conventional classification problem, and boundary detection may be performed by locating areas of rapid change in the descriptor vector...

Piecewise quasilinearization techniques for singular boundary-value problems

Piecewise quasilinearization methods for singular boundary-value problems in second-order ordinary differential equations are presented. These methods result in linear constant-coefficients ordinary differential equations which can be integrated analytically, thus yielding piecewise analytical solutions. The accuracy of the globally smooth piecewise quasilinear method is assessed by comparisons...