講義案内 前田研究室 maedalab Geo Assignment03

By considering the p-laplacian operator, we show the existence of a solution to the exterior (resp interior) free boundary problem with non constant Bernoulli free boundary

There are many exciting results concerned with the exis- tence of positive solutions of boundary-value problems of second or higher order differential equations with or

The main purpose of this work is to address the issue of quenched fluctuations around this limit, motivated by the dynamical properties of the disordered system for large but fixed

In order to be able to apply the Cartan–K¨ ahler theorem to prove existence of solutions in the real-analytic category, one needs a stronger result than Proposition 2.3; one needs

The aim of this paper is to prove the sum rule conjecture of [8] in the case of periodic boundary conditions, and actually a generalization thereof that identifies the

Beyond proving existence, we can show that the solution given in Theorem 2.2 is of Laplace transform type, modulo an appropriate error, as shown in the next theorem..

We give a methodology to create three different discrete parametrizations of the bioreactor geometry and obtain the optimized shapes with the help of a Genetic Multi-layer

It is known that quasi-continuity implies somewhat continuity but there exist somewhat continuous functions which are not quasi-continuous [4].. Thus from Theorem 1 it follows that