Question

Showing that $u_{tt} - \Delta u = 0$ is a hyperbolic PDE for $u: \mathbb{R}^{n} \times (0,\infty) \to \mathbb{R}$

score 120 · Answer 1 · 2020-09-03 19:54:09

120

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Showing that $u_{tt} - \Delta u = 0$ is a hyperbolic PDE for $u: \mathbb{R}^{n} \times (0,\infty) \to \mathbb{R}$

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score 350 · Answer 2 · 2020-09-04 04:18:45

350

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102

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81

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1.6k

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score 42 · Answer 8 · 2026-04-01 09:28:40

42

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score 200 · Answer 9 · 2020-09-23 14:33:40

200

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score 132 · Answer 10 · 2020-09-28 06:10:14

132

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score 259 · Answer 11 · 2026-03-28 15:26:06

259

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score 75 · Answer 12 · 2020-10-04 00:58:46

75

Views

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153

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147

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score 70 · Answer 15 · 2020-10-08 21:02:49

70

Views

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List Question

Showing that $u_{tt} - \Delta u = 0$ is a hyperbolic PDE for $u: \mathbb{R}^{n} \times (0,\infty) \to \mathbb{R}$

Energy Estimate of Damped Wave Equation

Curvature waves, harmonic curvature, and curvature flow

Why can't we measure a monochromatic wave's frequency perfectly over a finite range?

physics of the 1-dimensional wave equation

Deriving the new differential wave equation when assuming cylindrical symmetry

Applying Green's function for one dimensional wave equation

Multidimensional Wave Equation, find the parameter values for which the equation has a zero solution

Inverse Fourier transform of $ \frac{\sin(c|\mathbf{k}|)}{c|\mathbf{k}|} $

Proving the general solution to the wave equation in 3D is C^2

Solve the wave equation $ (\partial^2_t- \nabla^2) u(t,\mathbf{x}) = f(t,\mathbf{x})$ for a source that is always there

How do you write the PDE representing the 2 dimensional viscous wave equation?

Variable separation method for solving wave equation

Solve the nonhomogeneus wave equation with NO initial conditions

How to expand out this partial derivative (breaking time calculation)?

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