Estimates of Green functions and their applications for parabolic operators with singular potentials

• Autorzy: Lotfi Riahi
• Języki publikacji: EN

Abstrakty

EN

We prove global pointwise estimates for the Green function of a parabolic operator with potential in the parabolic Kato class on a $C^{1,1}$ cylindrical domain Ω. We apply these estimates to obtain a new and shorter proof of the Harnack inequality [16], and to study the boundary behavior of nonnegative solutions.

Kategorie tematyczne

• 31B25: Boundary behavior
• 35B05: Oscillation, zeros of solutions, mean value theorems, etc.
• 35K10: Second-order parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 95
• Numer: 2
• Strony: 267-283

Daty

wydano

2003

Twórcy

autor

Lotfi Riahi

• Department of Mathematics, Faculty of Sciences of Tunis, Campus Universitaire 1060, Tunis, Tunisia

Identyfikatory

DOI

10.4064/cm95-2-10