List questions from sobolev-spaces

Published on 14 Apr 2026 - 10:48

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Weak solution $u(x,t)$ of heat equation converges as $t \in \infty$

Published on 14 Apr 2026 - 4:02

130

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Bessel Potential spaces

Published on 10 Apr 2026 - 16:28

742

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Folland PDE chapter 6.C problem 1

Published on 10 Apr 2026 - 19:19

514

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Using Cauchy Schwarz for functions in Sobolev Space

Published on 12 Apr 2026 - 16:54

140

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weak solution for a simple boundary problem

Published on 12 Apr 2026 - 12:27

813

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Gagliardo Nirenberg Sobolev inequality for n >= 2

Published on 16 Apr 2026 - 11:03

126

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Show that $b(\ ., \ .)$ it is not coercive.

Published on 13 Apr 2026 - 3:41

1.3k

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Show that a Bilinear form is Coercive

Published on 14 Apr 2026 - 3:19

433

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Establishing a relationship between weak solution in $L_2(\Omega)$ and weak solution in $W^{1,\ 2}(\Omega)$ with classical solution

Published on 13 Apr 2026 - 19:05

108

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Show that the function $u(x)=1 \in W^{m,\ 2}(\Omega)$, but not in $W_0^{m,\ 2}(\Omega)$

Published on 16 Apr 2026 - 5:10

67

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Show that $L$ it is a continuous operator.

Published on 10 Apr 2026 - 3:04

2.3k

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Is fractional Sobolev space $H^s$ Hilbert?

Published on 09 Apr 2026 - 5:09

728

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A question about a Sobolev space trace inequality (don't understand why it is true)

Published on 13 Apr 2026 - 6:09

122

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Please explain this notation of mapping into a set and product space (related to Sobolev spaces)

Published on 16 Apr 2026 - 14:15

List Question

The proof of Morrey's Inequality in Evans Book

Weak solution $u(x,t)$ of heat equation converges as $t \in \infty$

Bessel Potential spaces

Folland PDE chapter 6.C problem 1

Using Cauchy Schwarz for functions in Sobolev Space

weak solution for a simple boundary problem

Gagliardo Nirenberg Sobolev inequality for n >= 2

Show that $b(\ ., \ .)$ it is not coercive.

Show that a Bilinear form is Coercive

Establishing a relationship between weak solution in $L_2(\Omega)$ and weak solution in $W^{1,\ 2}(\Omega)$ with classical solution

Show that the function $u(x)=1 \in W^{m,\ 2}(\Omega)$, but not in $W_0^{m,\ 2}(\Omega)$

Show that $L$ it is a continuous operator.

Is fractional Sobolev space $H^s$ Hilbert?

A question about a Sobolev space trace inequality (don't understand why it is true)

Please explain this notation of mapping into a set and product space (related to Sobolev spaces)

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