User user23078

38 votes

5 answers

5k views

Why is symplectic geometry so important in modern PDE ?

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

asked May 27, 2012 at 15:59

18 votes

6 answers

2k views

What's the use of Malgrange preparation theorem?

real-analysis examples cv.complex-variables

asked Oct 7, 2012 at 14:03

18 votes

2 answers

6k views

What's the idea behind Carleman estimates?

ap.analysis-of-pdes examples

asked Oct 16, 2012 at 13:56

11 votes

1 answer

616 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

asked Aug 28, 2012 at 14:08

11 votes

2 answers

1k views

what's the motivation of Weyl calculus ?

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

asked May 1, 2012 at 8:06

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

asked May 7, 2012 at 1:41

7 votes

2 answers

2k views

when a pseudo-differential operators to be compact?

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

asked May 14, 2012 at 16:48

6 votes

6 answers

2k views

Fractional Leibniz formula

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

asked Apr 24, 2012 at 14:18

4 votes

2 answers

526 views

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

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

asked Aug 12, 2012 at 13:40

4 votes

0 answers

931 views

Resonance of Schrödinger operator

fa.functional-analysis schrodinger-operators

asked Oct 23, 2012 at 9:15

4 votes

1 answer

273 views

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

ap.analysis-of-pdes fourier-analysis

asked Jan 30, 2013 at 2:51

3 votes

1 answer

626 views

Is this kernel space of finite dimension ?

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

asked Aug 25, 2012 at 15:52

2 votes

1 answer

250 views

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

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

asked Sep 27, 2012 at 11:41

2 votes

1 answer

273 views

Fourier transform of a particular function

fourier-analysis reference-request

asked Nov 13, 2012 at 9:27

2 votes

2 answers

518 views

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

fourier-transform schwartz-distributions

asked Oct 12, 2012 at 8:48

1 vote

1 answer

1k views

Almost analytic continuation

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

asked Sep 7, 2012 at 15:55

1 vote

1 answer

2k views

The fourier transform of homogeneous distribution and related topics

fa.functional-analysis schwartz-distributions

asked Apr 25, 2012 at 13:26

1 vote

2 answers

396 views

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

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

asked Apr 23, 2012 at 14:08

1 vote

1 answer

3k views

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

fa.functional-analysis fourier-analysis

asked May 22, 2012 at 6:05

0 votes

3 answers

881 views

Higher order fractional laplacian

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

asked Apr 20, 2012 at 12:39

0 votes

1 answer

158 views

Convolution operators defined by compactly supported distribtion

harmonic-analysis special-functions

asked Aug 29, 2012 at 3:25

0 votes

1 answer

725 views

Wave equation v.s.Schrödinger equation

ap.analysis-of-pdes harmonic-analysis

asked Aug 3, 2012 at 3:35

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22 Questions

Why is symplectic geometry so important in modern PDE ?

What's the use of Malgrange preparation theorem?

What's the idea behind Carleman estimates?

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 $e^{it\sqrt{-\Delta}}$

Resonance of Schrödinger operator

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

Is this kernel space of finite dimension ?

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

Fourier transform of a particular function

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

Almost analytic continuation

The fourier transform of homogeneous distribution and related topics

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

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

Higher order fractional laplacian

Convolution operators defined by compactly supported distribtion

Wave equation v.s.Schrödinger equation