Radiation conditions and the exterior Dirichlet problem for a class of higher order elliptic equations
โ Scribed by Karl J Witsch
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 807 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract We consider the DIRICHLET problem for linear elliptic differential equations with smooth real coefficients in a twoโdimensional domain with an angle point. We find an asymptotic representation of the solution near this point, which is stable under small variations of the angle.
## Abstract For the __n__th order nonlinear differential equation, __y__^(__n__)^ = __f__(__x__, __y__, __y__โฒ, โฆ, __y__^(__n__โ1)^), we consider uniqueness implies existence results for solutions satisfying certain (__k__ + __j__)โpoint boundary conditions, 1 โฉฝ __j__ โฉฝ __n__ โ 1, and 1 โฉฝ __k__ โฉฝ _
## Abstract This paper is a continuation of [6]. Here we construct a CAUCHY integral formula and a POMPEJUโrepresentation for elliptic systems of partial differential equations of first order in __R^n^__, which may be described with the help of a CLIFFORDโalgebra. Moreover we study properties of th
## Abstract We consider the equation (โ1)^__m__^โ^__m__^ (__p__โ^__m__^__u__) + โ__u__ = ฦ in โ^__n__^ ร (0, โ) for arbitrary positive integers __m__ and __n__ and under the assumptions __p__ โ 1, ฦ ฯต __C__(โ^__n__^) and __p__ > 0. Even if the differential operator (โ1)^__m__^โ^__m__^ (__p__โ^__m__