Total flux (nonlocal) boundary value problems for pseudoparabohc equations

摘要

The limiting behaviour of a pseudoparabolic partial differential equation with a total flux boundary condition on a sphere in the interior of a body is studied as the radius is allowed to approach Zero. It is shown that the solutions, parametrized by the radii, converge to the solution of a corresponding problem with a Dirac measure with mass at the center of the sphere.