Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

A question about notation in PDE

Tags:
  1. Jul 16, 2015 #1

    BiGyElLoWhAt

    User Avatar
    Gold Member

    I'm reading through one of my profs papers, or starting. Actually it's 2 of my old profs, one I had for linear and one I had for diff eq. My question is in Section 1 of this paper.

    "We begin with an analysis of a second order quasilinear partial dif-ferential inequality for real valued functions of n real variables,
    ##\Delta u - B|u|^{\epsilon} \geq 0##"
    where B and epsilon are constants, and B> 0 ; 0<epsilon<1

    What does the delta represent? Is it something to the effect of ##\sum_n \partial_{x_i}##? Similar to Del? If not what does this mean?
     
  2. jcsd
  3. Jul 16, 2015 #2

    BiGyElLoWhAt

    User Avatar
    Gold Member

    -.-
    Ok, another question, not too much farther down. What does ##\mathbb{C}^{\alpha}## where alpha is between 0 and 1 imply?
    Starting to think this paper may be over my head, especially if we're dealing with partial complex dimensions.
     
  4. Jul 16, 2015 #3

    TeethWhitener

    User Avatar
    Science Advisor
    Gold Member

    Δ is the Laplacian operator.

    Look up "Holder space" on Wikipedia.

    And that's about all the help I can offer. This paper is way over my head.
     
  5. Jul 16, 2015 #4

    BiGyElLoWhAt

    User Avatar
    Gold Member

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: A question about notation in PDE
  1. A notation question (Replies: 0)

Loading...