Geodesic
Boundary-Value Problems of a Degenerate Sobolev-Type Differential Equation
Canadian mathematical bulletin, Tome 20 (1977) no. 2, pp. 221-228

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The purpose of this paper is to study a degenerate Sobolev type partial differential equation in the form of Mut + Lu = f, where M and L are second order partial differential operators defined in a domain (0, T]×Ω in R n+1. The degenerate property of the equation is in the sense that both M and L are not necessarily strongly elliptic and their coefficients may vanish or be negative in some part of the domain (0, T]×Ω. Two types of boundary conditions are investigated. 
Pao, C. V. Boundary-Value Problems of a Degenerate Sobolev-Type Differential Equation. Canadian mathematical bulletin, Tome 20 (1977) no. 2, pp. 221-228. doi: 10.4153/CMB-1977-035-5
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     author = {Pao, C. V.},
     title = {Boundary-Value {Problems} of a {Degenerate} {Sobolev-Type} {Differential} {Equation}},
     journal = {Canadian mathematical bulletin},
     pages = {221--228},
     year = {1977},
     volume = {20},
     number = {2},
     doi = {10.4153/CMB-1977-035-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-035-5/}
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