List questions from pseudo-differential-operators

Published on 13 Apr 2026 - 2:03

82

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Reference Request for a theorem on translation invariant operators on $C_c^\infty(\mathbb{R}^n)$

Published on 15 Apr 2026 - 8:59

53

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Reference request on basic properties of the principal symbols of pseudodifferential operators

Published on 10 May 2026 - 12:53

99

Views

The Hörmander symbol space $S^{-\infty}(\Omega \times \mathbb{R}^n) \subset S^{m}_{cl}(\Omega \times \mathbb{R}^n)$ is closed

Published on 25 Mar 2026 - 4:42

35

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Exercise of Pseudodifferential operators problem

Published on 11 Apr 2026 - 23:09

50

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Estimate of Fourier transform of compactly supported function.

Published on 08 Apr 2026 - 19:29

74

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How does one show that the operator whose kernel is properly supported is a smoothing operator?

Published on 10 May 2026 - 12:52

62

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Why is the support of a linear differential operator the diagonal.

Published on 11 Apr 2026 - 16:18

33

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Smoothness of heat kernel on Lipschitz and polygon (cornered) domain

Published on 10 May 2026 - 12:53

44

Views

Semigroup property between pseudodifferential operators and differential operators

Published on 25 Mar 2026 - 4:36

53

Views

what does it mean for a sequence of function to converge pointwise but uniformly in $\epsilon$?

Published on 11 Apr 2026 - 18:54

220

Views

How to implement the Neumann boundary condition when solving the heat equation using Chebyshev's pseudo-spectral method

Published on 11 Apr 2026 - 4:05

100

Views

Example - Homogeneity

Published on 15 Apr 2026 - 9:58

74

Views

Explicit form of Parametrix for 2nd Order Elliptic Linear PDE in Divergence Form

Published on 11 Apr 2026 - 23:12

95

Views

Compactness of Pseudo-differential Operators on $H^s(\mathbb R^n)$?

Published on 14 Apr 2026 - 15:37

List Question

The support of the parametrix of laplacian

Reference Request for a theorem on translation invariant operators on $C_c^\infty(\mathbb{R}^n)$

Reference request on basic properties of the principal symbols of pseudodifferential operators

The Hörmander symbol space $S^{-\infty}(\Omega \times \mathbb{R}^n) \subset S^{m}_{cl}(\Omega \times \mathbb{R}^n)$ is closed

Exercise of Pseudodifferential operators problem

Estimate of Fourier transform of compactly supported function.

How does one show that the operator whose kernel is properly supported is a smoothing operator?

Why is the support of a linear differential operator the diagonal.

Smoothness of heat kernel on Lipschitz and polygon (cornered) domain

Semigroup property between pseudodifferential operators and differential operators

what does it mean for a sequence of function to converge pointwise but uniformly in $\epsilon$?

How to implement the Neumann boundary condition when solving the heat equation using Chebyshev's pseudo-spectral method

Example - Homogeneity

Explicit form of Parametrix for 2nd Order Elliptic Linear PDE in Divergence Form

Compactness of Pseudo-differential Operators on $H^s(\mathbb R^n)$?

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