Define the Sobolev Space \(H^k(\T ^n)=H^{k,2}(\T ^n)\) for \(k\) a nonnegative integer. Explain how to make sense of \(H^s(\T ^n)\) for \(s\in \mathbb {R}\).
Question
Math 6410 • ODE
Fall 1997 • Question 18
Question
Fall 1997 • Question 18
Define the Sobolev Space \(H^k(\T ^n)=H^{k,2}(\T ^n)\) for \(k\) a nonnegative integer. Explain how to make sense of \(H^s(\T ^n)\) for \(s\in \mathbb {R}\).