Deviation identity for linear differential operators and its application to obstacle problems

2025/05/12 by Darovskaya, Kseniya
#35J65 #35Q74 #35R35 #49N15 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2505.08112

Abstract

For a class of variational problems with linear differential operator, we obtain a convenient form of the deviation identity, i.e., the value of the distance between approximated solutions and the exact ones. We illustrate the result with an explicit form of the deviation identity for a biharmonic obstacle problem.

Related

• Error identities for variational problems with obstacles
• Generalized derivatives for the solution operator of the obstacle\n problem
• Obstacles problems with measure data
• Deviation equations in spaces with torsion
• Thin obstacle problem: estimates of the distance to the exact solution