May 17, 2024  
Graduate Catalog | 2015-2016 
    
Graduate Catalog | 2015-2016 Previous Edition

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MATH 8172 - Partial Differential Equations


Credit Hours: (3)

Harmonic functions, mean-value theorem, maximum principle, Green’s representation for the solution of the Dirichlet problem for Laplace’s equation; Poisson’s equations and the Poisson formula; statement and proof of the existence theorem for general second-order elliptic operators, generalized maximum principles; Sobolev spaces.  Evolution equations involving elliptic operators, such as the heat or wave equations, may also be introduced. 

Prerequisite(s): MATH 5174  and MATH 8144 , or permission of department.  


Schedule of Classes




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