Lectures on Cauchy's Problem in Linear Partial Differential Equations
نویسندگان
چکیده
منابع مشابه
Lectures on Partial Differential Equations
These are my incomplete lecture notes for the graduate introduction to PDE at Brown University in Fall 2005. The lectures on Laplace’s equation and the heat equation are included here. Typing took too much work after that. I hope what is here is still useful. Andreas Klöckner’s transcript of the remaining lectures is also posted on my website. Those however have not been proofread. Comments are...
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A partial differential equation (PDE) of order m is a relation of the form F (x, u,Du,Du, · · · , Du) = 0. (0.1) Here F is a given function of x ∈ R, ”unknown” function u = u(x), and its derivatives up to order m. We denote Du the set of all the derivatives of u of order k. Using multi-indices l = (l1, · · · , ln), i.e. vectors in R with nonnegative integer components, we can write Du = { Du = ...
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ژورنال
عنوان ژورنال: Physics Today
سال: 1953
ISSN: 0031-9228,1945-0699
DOI: 10.1063/1.3061337