Variable Time-Step Discretization of Degenerate Evolution Equations in Banach Spaces

• Published in: Numerical functional analysis and optimization Vol. 24; no. 3-4; pp. 391 - 426
• Main Author: Bassetti, Federico
• Format: Journal Article
• Language: English
• Published: Taylor & Francis Group 08.01.2003
• Subjects: AMS Subject Classification: 35A40; Backward Euler method; Degenerate evolution equations; Differential inclusion; Error estimates

This work is concerned with an abstract differential inclusion of the form where is a linear, continuous, symmetric and monotone operator defined over a separable Banach space V, and ∂φ is the subdifferential of a proper, convex, l.s.c, positive real function. We consider an approximation of the pre...