Opuscula Math. 29, no. 1 (2009), 15-25
http://dx.doi.org/10.7494/OpMath.2009.29.1.15
Opuscula Mathematica
Strong maximum principles for implicit parabolic functional-differential problems together with nonlocal inequalities with functionals
Abstract. The aim of the paper is to give strong maximum principles for implicit parabolic functional-differential problems together with nonlocal inequalities with functionals in relatively arbitrary \((n+1)\)-dimensional time-space sets more general than the cylindrical domain.
Keywords: strong maximum principles, implicit parabolic problems, nonlocal inequalities.
Mathematics Subject Classification: 35B50, 35R45, 35K20.
- Ludwik Byszewski
- Cracow University of Technology, Institute of Mathematics, ul. Warszawska 24, 31-155 Cracow, Poland
- Received: 2008-02-07.
- Accepted: 2008-04-02.
