List questions from dispersive-pde

Published on 06 Aug 2020 - 20:43

88

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Stability of PDE and the relation with Discrete spectrum/continuous spectrum

Published on 04 Nov 2020 - 1:38

75

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Assume $u \in L^\infty ([0,T];H^{s-1})$, $u_t \in L^\infty ([0,T];H^{s-1})$ then can we show that $u \in C([0,T];H^{s-1})$

Published on 20 Feb 2021 - 10:22

58

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Interpretation of the conformal symmetry of Schrodinger equation

Published on 21 Mar 2021 - 20:33

180

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Recasting a dispersion relation (determinant =0) as a matrix eigenvalue problem for numerical solution

Published on 04 May 2021 - 8:18

166

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Correct expansion for 2D anisotropic diffusion

Published on 26 Aug 2021 - 22:50

484

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Wave equation: predicting geometric dispersion with group theory

Published on 16 Oct 2021 - 19:35

155

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Non-Schwartz functions in Bourgain space X^{s,b}?

Published on 02 Feb 2022 - 15:20

180

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Why is the solution of the periodic KdV equation unique?

Published on 09 Feb 2022 - 21:25

64

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partial derivative of Bessel's operator.

Published on 12 Apr 2022 - 18:41

98

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How to prove that two PDE's are related?

Published on 26 May 2022 - 10:36

71

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Is $C(I; H2(\Omega))$ compactly embbed into $C(I; H1(\Omega))$?

Published on 18 Jun 2022 - 14:37

56

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Nonexistence of jump discontinuity for fractionally differentable functions

Published on 21 Jun 2022 - 13:34

34

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dispersion relation of $i\epsilon_{t}+\epsilon_{xx}+2(d_{1}^2+b_{2}^2)(\epsilon+\epsilon^\ast)+4d_1b_2\epsilon+4d_1b_2^2=0$?

Published on 14 Jul 2022 - 20:10

87

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About superharmonic functions

Published on 29 Aug 2022 - 0:09

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$e^{itH}$ notation

Stability of PDE and the relation with Discrete spectrum/continuous spectrum

Assume $u \in L^\infty ([0,T];H^{s-1})$, $u_t \in L^\infty ([0,T];H^{s-1})$ then can we show that $u \in C([0,T];H^{s-1})$

Interpretation of the conformal symmetry of Schrodinger equation

Recasting a dispersion relation (determinant =0) as a matrix eigenvalue problem for numerical solution

Correct expansion for 2D anisotropic diffusion

Wave equation: predicting geometric dispersion with group theory

Non-Schwartz functions in Bourgain space X^{s,b}?

Why is the solution of the periodic KdV equation unique?

partial derivative of Bessel's operator.

How to prove that two PDE's are related?

Is $C(I; H2(\Omega))$ compactly embbed into $C(I; H1(\Omega))$?

Nonexistence of jump discontinuity for fractionally differentable functions

dispersion relation of $i\epsilon_{t}+\epsilon_{xx}+2(d_{1}^2+b_{2}^2)(\epsilon+\epsilon^\ast)+4d_1b_2\epsilon+4d_1b_2^2=0$?

About superharmonic functions

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