Stefan problem for the laplace equation with regard for the curvature of the free boundary

  • B. V. Bazalii

Abstract

We consider a nonstationary problem with free boundary for an elliptic equation in the case where the value of the required function on an unknown boundary is proportional to the curvature of this boundary. We prove the existence of a solution in the small with respect to time in the spaces of smooth functions.
Published
25.10.1997
How to Cite
BazaliiB. V. “Stefan Problem for the Laplace Equation With Regard for the Curvature of the Free Boundary”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 49, no. 10, Oct. 1997, pp. 1299–1315, https://umj.imath.kiev.ua/index.php/umj/article/view/5128.
Section
Research articles