List questions from dispersive-pde

Published on 30 Apr 2026 - 6:43

91

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

Published on 11 Apr 2026 - 18:28

78

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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 17 Apr 2026 - 13:02

63

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Interpretation of the conformal symmetry of Schrodinger equation

Published on 17 Apr 2026 - 13:23

182

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

Published on 08 Apr 2026 - 21:13

169

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Correct expansion for 2D anisotropic diffusion

Published on 15 Apr 2026 - 17:28

487

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Wave equation: predicting geometric dispersion with group theory

Published on 10 Apr 2026 - 18:50

158

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

Published on 11 Apr 2026 - 21:03

183

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Why is the solution of the periodic KdV equation unique?

Published on 12 Apr 2026 - 12:46

67

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partial derivative of Bessel's operator.

Published on 09 Apr 2026 - 12:12

100

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How to prove that two PDE's are related?

Published on 14 Apr 2026 - 9:06

72

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

Published on 25 Mar 2026 - 7:48

59

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Nonexistence of jump discontinuity for fractionally differentable functions

Published on 12 Apr 2026 - 21:56

37

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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 17 Apr 2026 - 9:45

90

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About superharmonic functions

Published on 10 Apr 2026 - 10:19

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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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