Cauchy's problem for a class of fourth order elliptic equations in two independent variables
- 1 April 1971
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 1 (1) , 13-22
- https://doi.org/10.1080/00036817108839002
Abstract
Integral operator techniques are used to construct the solution to Cauchy's problem for a class of fourth order elliptic equations in two independent variables. If the Cauchy data is prescribed along an arbitrary analytic arc C, then approximate solutions can be obtained on compact subsets of domains which are conformally symmetric with respect to C. This improves upon results previously obtained by Henrici, Pucci, and Colton.Keywords
This publication has 8 references indexed in Scilit:
- Effect of Rigid Inclusions in Griffith CracksSIAM Journal on Applied Mathematics, 1970
- Cauchy's problem for almost linear elliptic equations in two independent variablesJournal of Approximation Theory, 1970
- Determination of Electrode Shapes for Axially Symmetric Electron GunsJournal of Applied Physics, 1960
- Continuous dependence on data for solutions of partial differential equations with a prescribed boundCommunications on Pure and Applied Mathematics, 1960
- On the reflection laws of second order differential equations in two independent variablesBulletin of the American Mathematical Society, 1959
- On the Numerical Calculation of Detached Bow Shock Waves in Hypersonic FlowJournal of the Aerospace Sciences, 1958
- A survey of I. N. Vekua's theory of elliptic partial differential equations with analytic coefficientsZeitschrift für angewandte Mathematik und Physik, 1957
- Solutions of linear partial differential equations of the fourth orderDuke Mathematical Journal, 1944