User user23078

35

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5

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5k

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Why is symplectic geometry so important in modern PDE ?

ap.analysis-of-pdes pseudo-differential-operators dg.differential-geometry

Jul 31 '13 at 4:15 Uday 2,039

15

17

votes

2

answers

5k

views

What's the idea behind Carleman estimates?

ap.analysis-of-pdes examples

May 29 '19 at 9:15 Tommi 598

7

16

votes

6

answers

2k

views

What's the use of Malgrange preparation theorem?

real-analysis examples cv.complex-variables

Feb 23 '17 at 3:33 Margaret Friedland 3,360

2

11

votes

1

answer

584

views

What's the role of $H^{p}(\mathbb{R}^{n})$ in modern (harmonic) analysis?

soft-question ho.history-overview fourier-analysis harmonic-analysis examples

Jul 16 '15 at 22:52 Community♦ 1

7

11

votes

2

answers

1k

views

what's the motivation of Weyl calculus ?

ap.analysis-of-pdes pseudo-differential-operators

Feb 28 '13 at 22:18 Community♦ 1

3

8

votes

2

answers

2k

views

(sharp)Garding's inequality and inequality with lower bounds

fa.functional-analysis ap.analysis-of-pdes inequalities pseudo-differential-operators

Sep 15 '13 at 21:46 user36539 282

5

7

votes

2

answers

1k

views

when a pseudo-differential operators to be compact?

pseudo-differential-operators fa.functional-analysis ap.analysis-of-pdes

Nov 3 '17 at 23:05 Joonas Ilmavirta 7,355

4

5

votes

6

answers

1k

views

Fractional Leibniz formula

fa.functional-analysis ap.analysis-of-pdes pseudo-differential-operators fractional-calculus

Jan 11 '14 at 16:31 smyrlis 2,673

2

4

votes

2

answers

513

views

What do we know about the semigroup $e^{it\sqrt{-\Delta}}$

ap.analysis-of-pdes operator-theory semigroups-of-operators

Feb 6 '20 at 0:01 timur 2,980

4

votes

1

answer

271

views

Is there a good way to estimate the Fourier transform of $\frac{1}{\lambda-iP(\xi)}$

ap.analysis-of-pdes fourier-analysis

Mar 14 '13 at 5:22 Community♦ 1

1

4

votes

0

answers

879

views

Resonance of Schrödinger operator

fa.functional-analysis schrodinger-operators

Oct 24 '12 at 13:30 user23078 1,424

3

votes

1

answer

571

views

Is this kernel space of finite dimension ?

fa.functional-analysis ap.analysis-of-pdes pseudo-differential-operators

Aug 30 '12 at 12:07 Jochen Wengenroth 11.5k

2

votes

1

answer

270

views

Fourier transform of a particular function

fourier-analysis reference-request

Nov 13 '12 at 16:59 Peter Michor 23.7k

1

2

votes

1

answer

242

views

Fourier transform and spectrum of PDOs in $L^p$

fa.functional-analysis differential-operators ap.analysis-of-pdes

Oct 20 '12 at 23:30 Alexandre Eremenko 67.1k

2

votes

2

answers

512

views

Fourier transform of $e^{it|\xi|^{\alpha}}$

fourier-transform schwartz-distributions

Oct 13 '12 at 8:53 Community♦ 1

1

vote

1

answer

937

views

Almost analytic continuation

fa.functional-analysis cv.complex-variables ap.analysis-of-pdes

Sep 8 '12 at 1:17 Long 21

1

vote

1

answer

3k

views

how to prove the range of a closed linear operator is closed ?

fa.functional-analysis fourier-analysis

May 22 '12 at 6:48 Community♦ 1

1

vote

1

answer

2k

views

The fourier transform of homogeneous distribution and related topics

fa.functional-analysis schwartz-distributions

Apr 25 '12 at 19:58 Bazin 12.2k

1

vote

2

answers

393

views

Does these commutator estimates bound in $L^{2}$

fa.functional-analysis ap.analysis-of-pdes

Apr 25 '12 at 12:21 user23078 1,424

0

votes

1

answer

157

views

Convolution operators defined by compactly supported distribtion

harmonic-analysis special-functions

Aug 29 '12 at 11:00 Bazin 12.2k

0

votes

1

answer

697

views

Wave equation v.s.Schrödinger equation

ap.analysis-of-pdes harmonic-analysis

Aug 3 '12 at 12:56 Papiro 1,521

1

0

votes

3

answers

803

views

Higher order fractional laplacian

fractional-calculus ca.classical-analysis-and-odes

Apr 23 '12 at 12:58 Manuel Ortigueira 31

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22 Questions

Why is symplectic geometry so important in modern PDE ?

What's the idea behind Carleman estimates?

What's the use of Malgrange preparation theorem?

What's the role of $H^{p}(\mathbb{R}^{n})$ in modern (harmonic) analysis?

what's the motivation of Weyl calculus ?

(sharp)Garding's inequality and inequality with lower bounds

when a pseudo-differential operators to be compact?

Fractional Leibniz formula

What do we know about the semigroup $e^{it\sqrt{-\Delta}}$

Is there a good way to estimate the Fourier transform of $\frac{1}{\lambda-iP(\xi)}$

Resonance of Schrödinger operator

Is this kernel space of finite dimension ?

Fourier transform of a particular function

Fourier transform and spectrum of PDOs in $L^p$

Fourier transform of $e^{it|\xi|^{\alpha}}$

Almost analytic continuation

how to prove the range of a closed linear operator is closed ?

The fourier transform of homogeneous distribution and related topics

Does these commutator estimates bound in $L^{2}$

Convolution operators defined by compactly supported distribtion

Wave equation v.s.Schrödinger equation

Higher order fractional laplacian