## Advances in Mathematical Sciences and Applications, Volume 7, Pages 1-523 |

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Advances in Mathematical Applications Gakkotosho apply approximate assume assumption asymptotic Banach space behavior Borel boundary conditions consider continuous converges convex Corollary corresponding decay defined denote derive differential equations diffusion Dirichlet Dirichlet problem eigenvalues elliptic energy entropy solution evolution exists a constant finite fixed function Gibbs-Thomson law Ginzburg-Landau given Green's formula harmonic map Hence holds implies initial data initial value integral Jn Jn limsup linear Lipschitz continuous lower semicontinuous Math Mathematical Sciences mean curvature measure mild solution Moreover nonlinear nonnegative norm notation obtain open set operator parabolic equations porous medium positive constant proof of Lemma proof of Theorem Proposition 2.3 prove regularity Remark respect satisfies Sciences and Applications semigroup semilinear sequence Sobolev space Stefan problem Theorem 2.1 Tokyo unique Univ value problem viscosity solutions weak solution weakly Young's inequality zero