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Math 6410 • ODE

2005 • Question 8

Question

Math 6410 • ODE 2005 • Question 8

Problem. State the Phillips version of the Hille-Yosida theorem and illustrate it by a discussion of the heat equation \[ u_t-\Delta u=h(t,x). \]

Raw LaTeX

\textbf{Problem.}
State the Phillips version of the Hille-Yosida theorem and illustrate it by a discussion
of the heat equation
\[
  u_t-\Delta u=h(t,x).
\]

Topic Tags

Distributions and Weak Solutions Fundamental Solutions Heat Equation and Parabolic Equations

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