Question

With this contour specified, how can the integral $\int\limits_{-\infty}^{\infty}dx \frac{e^{-ixt}}{x^2-a^2}$ be equal to $0$?

score 335 · Answer 1 · 2026-03-28 22:28:17

335

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With this contour specified, how can the integral $\int\limits_{-\infty}^{\infty}dx \frac{e^{-ixt}}{x^2-a^2}$ be equal to $0$?

Published on 28 Mar 2026 - 22:28

score 175 · Answer 2 · 2021-04-18 07:02:18

175

Views

Solve the Darboux problem: $u_{tt}- u_{xx} = 0$, $t > \max\{-x,x\}$, $t \geq 0$

Published on 18 Apr 2021 - 7:02

score 44 · Answer 3 · 2021-04-19 12:25:23

44

Views

2D Wave equation with periodic BC-s

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score 205 · Answer 4 · 2021-04-19 17:23:14

205

Views

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score 67 · Answer 5 · 2021-04-19 17:30:05

67

Views

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score 132 · Answer 6 · 2021-04-20 00:19:22

Solve the following initial value and boundary problem: $u_{tt} -c^{2}u_{xx} = 0$, $0<x<T$, $t>0$ with $u(0,t) = a(t)$, $u(L,t) = b(t)$, $t \geq 0$

score 122 · Answer 7 · 2026-03-29 17:31:23

122

Views

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Published on 29 Mar 2026 - 17:31

score 40 · Answer 8 · 2021-04-21 06:20:41

40

Views

An interesting problem about wave equations: obtain $u(x,t)$ for $(x, t)$ in regions $I$, $II$, $III$, and $IV$.

Published on 21 Apr 2021 - 6:20

score 74 · Answer 9 · 2021-04-23 10:24:44

74

Views

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Published on 23 Apr 2021 - 10:24

score 427 · Answer 10 · 2021-04-23 19:01:33

427

Views

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score 162 · Answer 11 · 2021-04-24 21:46:22

162

Views

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Published on 24 Apr 2021 - 21:46

score 42 · Answer 12 · 2021-04-26 15:26:03

42

Views

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Published on 26 Apr 2021 - 15:26

score 110 · Answer 13 · 2021-04-27 14:27:06

110

Views

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Published on 27 Apr 2021 - 14:27

score 82 · Answer 14 · 2021-05-04 16:25:39

82

Views

How to solve this wave equation in a triangle?

Published on 04 May 2021 - 16:25

score 99 · Answer 15 · 2021-05-07 21:47:06

99

Views

How to differentiate indefinite integral of multivariable function, which is infinite at one endpoint

Published on 07 May 2021 - 21:47

List Question

With this contour specified, how can the integral $\int\limits_{-\infty}^{\infty}dx \frac{e^{-ixt}}{x^2-a^2}$ be equal to $0$?

Solve the Darboux problem: $u_{tt}- u_{xx} = 0$, $t > \max\{-x,x\}$, $t \geq 0$

2D Wave equation with periodic BC-s

Solving the biharmonic operator wave equation for plates (mixed PDE derivatives)

Solve the mixed value problem for $1$-D wave equation

Solve the following initial value and boundary problem: $u_{tt} -c^{2}u_{xx} = 0$, $0<x<T$, $t>0$ with $u(0,t) = a(t)$, $u(L,t) = b(t)$, $t \geq 0$

Propogation of singularity for the 3D wave eqaution

An interesting problem about wave equations: obtain $u(x,t)$ for $(x, t)$ in regions $I$, $II$, $III$, and $IV$.

Hyperboloidal compactification of massive scalar wave equation

Solving a BVP for a wave equation

Solving IVP PDE wave equation using the method of Fourier Transform

Is the wave fixed or I used the d'Alembert formula wrong?

Treating one of the variables in Laplace equation as time

How to solve this wave equation in a triangle?

How to differentiate indefinite integral of multivariable function, which is infinite at one endpoint

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