Estimates on the support of the solutions of some nonlinear elliptic and parabolic problems
Jesús Ildefonso Díaz Díaz, Miguel A. Herrero · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1981
Synopsis We obtain existence and uniqueness of solutions with compact support for some nonlinear elliptic and parabolic problems including the equations of one-dimensional motion of a non-newtonian fluid. Precise estimates for the support of these solutions are obtained, and the optimality of our hypotheses is discussed.