Author:
Soto John Paolo O.,Lope Jose Ernie C.,Ona Mark Philip F.
Abstract
<abstract><p>We study the singular nonlinear partial differential equation $ t\partial_tu = F(t, x, u, \partial_xu) $, where $ (t, x)\in\mathbb{R}\times\mathbb{R}^n $. Under some growth conditions on the coefficients of the partial Taylor expansion of $ F $, we construct the unique solution that is continuous in $ t $ and $ C^\infty $ in $ x $.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
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