I'm not going to blame anyone except for the fact that I'm probably a slow learner. Can somebody explain some of the things I'm learning in layman terms? That way I can have some context when I'm reading about them. Right now, the things I'm reading have no meaning, so it's really hard to understand it.(adsbygoogle = window.adsbygoogle || []).push({});

I would also really appreciate it if someone gave me a really loose proof too. You don't need to go into the math, I'm thinking something along the lines of "Well we take what is called a "blank" equation, and manipulate it until we get an inequality..this is useful because..etc"

Here is what I do understand so far:

Fourier series/transforms/integrals and why that is useful.

Solving first order and quasi-linear PDE's via separation of variables and characteristic method.

Ok here goes:

1. What is the "Energy Method" and what does it do?

2. What are "shocks"? and why is that a problem?

3. What does it mean what they say "Parabolic, Hyperbolic, Elliptical problem?"

4. What do they mean by "well-posedness and uniqueness?"

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# I feel really lost in my PDE class. Can somebody explain some things to me?

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