## Abstract Independent variable transformations of partial differential equations are examined with regard to their use in numerical solutions. Systems of first order and second order partial differential equations in conservative and nonconservative form are considered. These general equations ar
On mappings of multiply connected domains by solutions of partial differential equations
β Scribed by Seymour V. Parter
- Publisher
- John Wiley and Sons
- Year
- 1960
- Tongue
- English
- Weight
- 735 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0010-3640
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π SIMILAR VOLUMES
Let R be a compact region (Le., the closure of an open connected set) in R" which is of class C2. Let n i = l A = Zn,D, + a, be a first order partial differential expression on R, where D, = a/&,, ui is an m x m matrix of C2 functions, i = 1, \* \* \* , n, and a,, is an m x m matrix of C1 functions.
Applying the techniques from Nevanlinna theory of value distribution theory of meromorphic functions on C n , we investigate the existence problem of some meromorphic solutions and obtain a satisfactory Malmquist type theorem for a class of algebraic partial differential equations on C n which impro
## Abstract Inpainting is an image interpolation method. Partial differential equation (PDE)βbased digital inpainting techniques are finding broad applications. In this paper, PDEβbased inpainting techniques are applied to the field of MR parallel imaging. A novel model and its corresponding numeri