Comparison principle for a nonlinear parabolic problem of a nonmonotone type

• Autorzy: Tomas Vejchodský
• Języki publikacji: EN

Abstrakty

EN

A nonlinear parabolic problem with the Newton boundary conditions and its weak formulation are examined. The problem describes nonstationary heat conduction in inhomogeneous and anisotropic media. We prove a comparison principle which guarantees that for greater data we obtain, in general, greater weak solutions. A new strategy of proving the comparison principle is presented.

Kategorie tematyczne

• 35K55: Nonlinear parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2002
• Tom: 29
• Numer: 1
• Strony: 65-73

Daty

wydano

2002

Twórcy

autor

Tomas Vejchodský

• Mathematical Institute, Academy of Sciences, Žitná 25, CZ-11567, Praha 1, Czech Republic

Identyfikatory

DOI

10.4064/am29-1-7