A Necessary Condition to Regularity of a Boundary Point for a Degenerate Quasilinear Parabolic Equation

  • S. Leonardi

    Università degli Studi di Catania, Italy
  • I.I. Skrypnik

    Academy of Sciences of Ukraine, Donetsk, Ukraine

Abstract

We shall study the behaviour of solutions of the equation

at a point . Indeed we establish a necessary condition to the regularity of a boundary point of the cylindrical domain extending the analogous result from paper [13] to the degenerate case. The degeneration is given by weights (depending on the space variable) from a suitable Muchenhoupt class. It is important to note that the coefficients of the equation depend on time too.

Cite this article

S. Leonardi, I.I. Skrypnik, A Necessary Condition to Regularity of a Boundary Point for a Degenerate Quasilinear Parabolic Equation. Z. Anal. Anwend. 15 (1996), no. 1, pp. 159–180

DOI 10.4171/ZAA/693