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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Fall 1994 • Question 12

Question

Math 6410 • ODE Fall 1994 • Question 12

Define the Sobolev space \(H^k(\Omega )\) and give an example of a set \(\Omega \) and a function \(f\in H^1(\Omega )\) which does not agree a.e. with any \(C^1\) function.

Raw LaTeX

Define the Sobolev space \(H^k(\Omega)\) and give an example of
a set \(\Omega\) and a function \(f\in H^1(\Omega)\) which does not agree a.e. with any
\(C^1\) function.

Topic Tags

Sobolev Spaces and Energy Estimates