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Sobolev-spaces
New post in Sobolev-spaces
Is $L^2(\Omega)$ dense in $H^{-1}(\Omega)$?
November 5th, 2020
hilbert-spaces
sobolev-spaces
functional-analysis
Example of a discontinuous and bounded function for the limiting case $W^{1,n}$
August 1st, 2022
sobolev-spaces
An inequality in the proof of characterization of the $H^{-1}$ norm in Evans's PDE book
August 1st, 2022
sobolev-spaces
partial-differential-equations
functional-analysis
Proving that the eigenfunctions of the Laplacian form a basis of $L^2(\Omega)$ (and of $H_0^1(\Omega)$)
August 1st, 2022
optimization
eigenfunctions
laplacian
sobolev-spaces
functional-analysis
A remark about the Rellich-Kondrachov Compactness Theorem in Evans's PDE book
August 1st, 2022
partial-differential-equations
sobolev-spaces
Trace Theorem question
August 1st, 2022
sobolev-spaces
trace
partial-differential-equations
Extension Theorem for the Sobolev Space $W^{1, \infty}(U)$
October 7th, 2020
sobolev-spaces
Regularity of a domain - definition
August 1st, 2022
sobolev-spaces
partial-differential-equations
The constant in the Sobolev trace theorem inequality
August 1st, 2022
trace
sobolev-spaces
functional-analysis
partial-differential-equations
Dual space of $H^1(\Omega)$
August 1st, 2022
functional-analysis
sobolev-spaces
Is $W^{k,p}$ a reflexiv Banach space?
August 1st, 2022
sobolev-spaces
Differences between $-\Delta: H_0^1(\Omega)\to H^{-1}(\Omega)$ and $-\Delta: H^2(\Omega)\cap H_0^1(\Omega)\to L^2(\Omega)$
August 1st, 2022
sobolev-spaces
partial-differential-equations
analysis
functional-analysis
Does existence of the second weak derivative of $f\in L^2$ imply existence of the first?
August 1st, 2022
sobolev-spaces
lebesgue-integral
functional-analysis
weak-derivatives
For which $s\in\mathbb R$, is $H^s(\mathbb T)$ a Banach algebra?
August 1st, 2022
analysis
banach-algebras
sobolev-spaces
fourier-analysis
functional-analysis
A detail in the proof of trace theorem of Sobolev space in Evans
August 1st, 2022
partial-differential-equations
sobolev-spaces
Rellich–Kondrachov theorem for traces
August 1st, 2022
trace-map
compact-operators
sobolev-spaces
besov-space
Relation between Sobolev Space $W^{1,\infty}$ and the Lipschitz class
August 1st, 2022
sobolev-spaces
measure-theory
functional-analysis
real-analysis
holder-spaces
Hille Yosida theorem application
August 1st, 2022
sobolev-spaces
functional-analysis
partial-differential-equations
What are degenerate PDEs and why weighted Sobolev spaces are useful?
August 1st, 2022
reference-request
partial-differential-equations
sobolev-spaces
Function in $H^1$, but not continuous
August 1st, 2022
examples-counterexamples
functional-analysis
functions
sobolev-spaces
Problem 9 - Chapter 5 - Evans' PDE (First Edition)
August 1st, 2022
partial-differential-equations
integral-inequality
sobolev-spaces
When viewing Sobolev spaces as completions, how does the notion of weak derivative arise?
August 1st, 2022
sobolev-spaces
functional-analysis
riemannian-geometry
partial-differential-equations
reference-request
Some basics of Sobolev spaces
August 1st, 2022
sobolev-spaces
real-analysis
functional-analysis
Counterexample of Sobolev Embedding Theorem?
January 7th, 2022
partial-differential-equations
sobolev-spaces
Space Sobolev $W^{m,p}$ complete
August 1st, 2022
banach-spaces
convergence-divergence
functional-analysis
sobolev-spaces
Extension and trace operators for Sobolev spaces
August 1st, 2022
trace
sobolev-spaces
functional-analysis
operator-theory
Sobolev Embedding (Case: p=N)
August 1st, 2022
sobolev-spaces
Intuition behind Sobolev Inequality
December 12th, 2020
intuition
inequality
sobolev-spaces
Vector, Hilbert, Banach, Sobolev spaces
August 1st, 2022
banach-spaces
hilbert-spaces
sobolev-spaces
functional-analysis
vector-spaces
Sobolev meets Wiener
August 1st, 2022
stochastic-processes
brownian-motion
sobolev-spaces
derivatives
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