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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Fall 1994 • Question 9

Question

Math 6410 • ODE Fall 1994 • Question 9

Apply the method of odd extensions on the heat kernel formula for \((-\infty ,\infty )\) to derive a formula for the solution of the diffusion equation on \((0,\infty )\) with Dirichlet boundary conditions.

Raw LaTeX

Apply the method of odd extensions on the heat kernel formula
for \((-\infty,\infty)\) to derive a formula for the solution of the diffusion
equation on \((0,\infty)\) with Dirichlet boundary conditions.

Topic Tags

Boundary Value Problems Boundary Value Problems and Sturm-Liouville Theory Heat Equation and Parabolic Equations Poincare Maps and Periodic Solutions