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approximation
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asked
Approximating norms using numerical integration?
comment
Fast growing unbounded functions in the Sobolev space $H^1(\Omega)$
@AlekseiKulikov Can you explain why?
asked
Fast growing unbounded functions in the Sobolev space $H^1(\Omega)$
revised
Intersection of Sobolev space with the space of continuous functions
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revised
Intersection of Sobolev space with the space of continuous functions
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revised
Intersection of Sobolev space with the space of continuous functions
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comment
Intersection of Sobolev space with the space of continuous functions
@MateuszKwaśnicki I think you're right. A basic idea would be to have a cauchy sequence in $H$ which converges in the $H^1$ norm to a discontinuous function.
asked
Intersection of Sobolev space with the space of continuous functions
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