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Sobolev-spaces
New post in Sobolev-spaces
Sobolev embedding into $L^\infty$
August 1st, 2022
sobolev-spaces
inequality
Approximate a positive Sobolev function by positive smooth functions
August 1st, 2022
partial-differential-equations
banach-spaces
sobolev-spaces
approximation
real-analysis
Under which circumstances is the Laplacian compact?
March 1st, 2020
functional-analysis
operator-theory
sobolev-spaces
trace of an $H^1$ function is in $H^\frac{1}{2}$
August 6th, 2022
sobolev-spaces
Schwartz Space is a subspace of Sobolev Space, but how can I show that?
August 1st, 2022
sobolev-spaces
fourier-analysis
Trace inequality
August 1st, 2022
inequality
trace
sobolev-spaces
Poincaré Inequality
August 1st, 2022
partial-differential-equations
inequality
sobolev-spaces
An inequality of J. Necas
August 1st, 2022
sobolev-spaces
partial-differential-equations
inequality
Weak formulation with Dirichlet boundary conditions
November 7th, 2020
sobolev-spaces
partial-differential-equations
weak derivative and almost everywhere derivation
April 4th, 2020
weak-derivatives
distribution-theory
sobolev-spaces
derivatives
integration
Why is $H^1 \neq H_0^1$?
August 1st, 2022
sobolev-spaces
relation between $W^{1,\infty}$ and $C^{0,1}$
August 1st, 2022
sobolev-spaces
Weak convergence in Sobolev spaces involving time
August 24th, 2020
functional-analysis
partial-differential-equations
sobolev-spaces
Can there exist a function that has a weak derivative, but is not differentiable almost everywhere?
March 15th, 2021
weak-derivatives
partial-differential-equations
sobolev-spaces
Some doubts about Trace Theorem (for Sobolev functions).
August 1st, 2022
measure-theory
sobolev-spaces
trace
In what conditions a weak solution is a classical solution?
August 1st, 2022
regularity-theory-of-pdes
sobolev-spaces
partial-differential-equations
real-analysis
elliptic-equations
What is the square root of the Laplace operator?
March 27th, 2020
sobolev-spaces
functional-analysis
partial-differential-equations
Weak convergence in Sobolev spaces
March 10th, 2020
functional-analysis
sobolev-spaces
weak-convergence
Continuous representatives in Sobolev Spaces
March 25th, 2020
real-analysis
analysis
sobolev-spaces
The proof of Morrey's Inequality in Evans Book
December 7th, 2020
partial-differential-equations
sobolev-spaces
the basis for the Sobolev space $H^1_0([0,1],\mathbb{R})$
August 1st, 2022
hilbert-spaces
sobolev-spaces
functional-analysis
Proof of equivalence of Sobolev Space and Lipschitz functions
August 1st, 2022
weak-convergence
lp-spaces
sobolev-spaces
measure-theory
functional-analysis
Duhamel's principle for heat equation.
August 1st, 2022
functional-analysis
convolution
sobolev-spaces
heat-equation
partial-differential-equations
If $u \in H^s(\mathbb{R}^n)$ for $s > n/2$, then $u \in L^\infty(\mathbb{R}^n)$?
February 29th, 2020
real-analysis
partial-differential-equations
fourier-analysis
sobolev-spaces
lp-spaces
How exactly does the constant $C$ in the Sobolev inequality depend on the domain?
April 20th, 2020
partial-differential-equations
sobolev-spaces
Equivalent Norms on Sobolev Spaces
August 27th, 2020
sobolev-spaces
Surjectivity of the trace operator in Sobolev spaces
December 18th, 2020
functional-analysis
sobolev-spaces
trace
partial-differential-equations
Show that $u(x)=\ln\left(\ln\left(1+\frac{1}{|x|}\right)\right)$ is in $W^{1,n}(U)$, where $U=B(0,1)\subset\mathbb{R}^n$.
August 1st, 2022
functional-analysis
polar-coordinates
sobolev-spaces
integration
Evans PDE example 4, p.260 clarification
August 1st, 2022
sobolev-spaces
partial-differential-equations
Sobolev space and equivalence of norms
August 1st, 2022
sobolev-spaces
functional-analysis
absolute-continuity
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