Categories
Tags
Sobolev-spaces
New post in Sobolev-spaces
The integration of radially symmetric function
August 1st, 2022
sobolev-spaces
real-analysis
multivariable-calculus
Functions on Besov spaces and Hölder conditions
August 1st, 2022
sobolev-spaces
besov-space
How to prove the chain rule with respect to weak derivatives?
February 1st, 2020
sobolev-spaces
weak-derivatives
The Sobolev type embedding for negative Sobolev space
June 3rd, 2020
sobolev-spaces
Evan's PDE question Chapter 5 problem 9
October 12th, 2020
integral-inequality
sobolev-spaces
partial-differential-equations
Neumann boundary condition VS Dirichlet boundary condition : Why Neumann condition don't need to be specified in the space?
August 1st, 2022
sobolev-spaces
partial-differential-equations
hilbert-spaces
Interpolation Inequality Sobolev space. Need some explanation
September 25th, 2020
sobolev-spaces
interpolation
partial-differential-equations
norm of sobolev space $H^{1/2}$
May 11th, 2020
normed-spaces
sobolev-spaces
proof on Poincare's inequality.
August 1st, 2022
sobolev-spaces
negative Sobolev space contains $L^1$ for a compact domain
June 28th, 2020
analysis
partial-differential-equations
sobolev-spaces
lp-spaces
weak-derivatives
Does the existence of weak derivatives require the lower order derivatives also to exist?
July 4th, 2020
weak-derivatives
sobolev-spaces
The Coercivity of uniformly positive definite Matrix of Sobolev function
August 1st, 2022
matrices
sobolev-spaces
Trace Theorem and Neumann boundary.
July 9th, 2020
functional-analysis
sobolev-spaces
partial-differential-equations
trace
Poincare (Wirtinger) Inequality vanishing on subset of boundary?
March 14th, 2020
partial-differential-equations
sobolev-spaces
real-analysis
inequality
Do Lipschitz-continuous funcions have weak derivatives on bounded open sets?
August 1st, 2022
normed-spaces
sobolev-spaces
holder-spaces
functional-analysis
Compact, continuous embeddings of $H^s := W^{s,2} \leftrightarrow C^{(\alpha)}$
August 7th, 2020
holder-spaces
sobolev-spaces
analysis
fourier-analysis
Estimate $L^{2p}$ norm of the gradient by the supremum of the function and $L^p$ norm of the Hessian
July 12th, 2020
sobolev-spaces
lp-spaces
estimation
Does weak convergence in $W^{1,p}$ imply strong convergence in $L^q$?
May 19th, 2020
lp-spaces
normed-spaces
weak-convergence
sobolev-spaces
Show that $f(x) = \log\log(\frac{e}{\Vert x \Vert_{2}})$ is in Sobolev space $W^{1,p}(B_1(0))$
December 31st, 2020
real-analysis
sobolev-spaces
examples-counterexamples
Deny Lions Lemma
July 27th, 2020
functional-analysis
sobolev-spaces
Vanishing at the infinity of a function in the Sobolev space.
August 1st, 2022
partial-differential-equations
sobolev-spaces
functional-analysis
weak convergence of product of weakly and strongly convergent $L^{2}$ sequences in $L^{2}$
July 10th, 2020
sobolev-spaces
weak-convergence
closed-graph
real-analysis
functional-analysis
Derivative same as the weak derivative
August 1st, 2022
functional-analysis
sobolev-spaces
What is the Sobolev Lemma?
May 18th, 2020
analysis
sobolev-spaces
Convergence in $H^1(\mathbb{R})$ implies convergence in $L^\infty(\mathbb{R})$
July 6th, 2020
lp-spaces
sobolev-spaces
Quick question on definition of derivative in the sense of distribution
August 1st, 2022
weak-derivatives
sobolev-spaces
Slobodeckij and Bessel definitions of fractional Sobolev spaces on Lipschitz domains
August 1st, 2022
fourier-analysis
sobolev-spaces
Sobolev norm in the definition of Sobolev spaces
August 1st, 2022
functional-analysis
sobolev-spaces
Sobolev space - norm $H^1$ and $H^1_0$
August 1st, 2022
sobolev-spaces
functional-analysis
normed-spaces
Poincaré inequality using $H^1$ seminorm
August 1st, 2022
inequality
sobolev-spaces
normed-spaces
functional-analysis
←
1
2
3
4
5
6
7
8
9
→