I have a third order derivative of a variable, say U, which is a function of both space and time.(adsbygoogle = window.adsbygoogle || []).push({});

du/dx * du/dx * du/dt or (d^3(U)/(dt*dx^2))

The Fourier transform of du/dx is simply ik*F(u) where F(u) is the Fourier transform of u. The Fourier transform of d^2(u)/(dx^2) is simply -(k^2)*F(u) where F(u) is again the Fourier transform of u. My question is, how do handle the time derivative part with a Laplace transform? What would the Fourier-Laplace transform of the given PDE look like?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Fourier-Laplace transform of mixed PDE?

Loading...

Similar Threads for Fourier Laplace transform |
---|

I Laplace's equation |

I Laplace's equation in 3 D |

I Complex Fourier Series |

I Ode using Fourier Transform |

A Fourier Transform for 3rd kind of boundary conditions? |

**Physics Forums | Science Articles, Homework Help, Discussion**