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15
173
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A Question about Chain rule for Sobolev spaces

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#sobolev-spaces #chain-rule #weak-derivatives
162
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Polyharmonic interpolation with mixed boundary conditions, variational formulation?

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#sobolev-spaces #interpolation #boundary-value-problem #greens-function #reproducing-kernel-hilbert-spaces
39
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Sobolev Embeddings Part 2 - Nonlinear Analysis on Manifold

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#riemannian-geometry #sobolev-spaces
181
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How are higher order boundary conditions handled in a weak formulation?

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#partial-differential-equations #sobolev-spaces #boundary-value-problem #weak-derivatives #trace-map
48
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Young measures for variational problems

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#functional-analysis #measure-theory #sobolev-spaces #calculus-of-variations
73
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On the existence and uniqueness of solution for a regime-switching Black-Scholes problem (coupled parabolic problems)

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#partial-differential-equations #numerical-methods #sobolev-spaces #finance #parabolic-pde
88
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Sobolev Embedding for the weak topology

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#functional-analysis #sobolev-spaces
95
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Why do we want to diagonalize a compact self-adjoint operator on a Hilbert space?

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#functional-analysis #partial-differential-equations #operator-theory #hilbert-spaces #sobolev-spaces
33
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For $u:\mathbb{R}^3 \to \mathbb{R}^3$, if $u \in W^{n,p}(\mathbb{R}^3)$, then what is the regularity of $\nabla \cdot u$?

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#functional-analysis #sobolev-spaces #regularity-theory-of-pdes #matrix-norms #divergence-operator
71
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Sequence of Dirichlet eigenvalues of monotone cover converges to Dirichlet eigenvalues of limit

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#partial-differential-equations #sobolev-spaces #spectral-theory #laplacian
193
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Exercise 8.23 Brezis book

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#functional-analysis #partial-differential-equations #sobolev-spaces
83
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Relation between the negative Laplacian operator and its square root

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#functional-analysis #operator-theory #sobolev-spaces #fractional-sobolev-spaces
47
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the details of the proof

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#partial-differential-equations #sobolev-spaces
48
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difference between $H_s^0(\mathbb{R}^n)$ and $ H_s(\mathbb{R}^n)$

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#functional-analysis #sobolev-spaces #schwartz-space
214
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Regularity of Weak solution for biharmonic problem

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#functional-analysis #partial-differential-equations #sobolev-spaces #regularity-theory-of-pdes #elliptic-equations

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