Abstract
The maximum principle for classical and viscosity subsolutions of a general degenerate elliptic linear second order operator with second and first order terms alone on bounded open subsets is proved under various assumptions on the coefficients. A general sufficient condition is given when the coefficients are continuous. A counter example is also given to show that the maximum principle is not valid even for classical subsolutions of degenerate elliptic operators in general. (author). 3 refs.
Citation Formats
Ramaswamy, M, and Ramaswamy, S.
Maximum principle for subsolutions of degenerate elliptic operators.
IAEA: N. p.,
1994.
Web.
Ramaswamy, M, & Ramaswamy, S.
Maximum principle for subsolutions of degenerate elliptic operators.
IAEA.
Ramaswamy, M, and Ramaswamy, S.
1994.
"Maximum principle for subsolutions of degenerate elliptic operators."
IAEA.
@misc{etde_10112371,
title = {Maximum principle for subsolutions of degenerate elliptic operators}
author = {Ramaswamy, M, and Ramaswamy, S}
abstractNote = {The maximum principle for classical and viscosity subsolutions of a general degenerate elliptic linear second order operator with second and first order terms alone on bounded open subsets is proved under various assumptions on the coefficients. A general sufficient condition is given when the coefficients are continuous. A counter example is also given to show that the maximum principle is not valid even for classical subsolutions of degenerate elliptic operators in general. (author). 3 refs.}
place = {IAEA}
year = {1994}
month = {Sep}
}
title = {Maximum principle for subsolutions of degenerate elliptic operators}
author = {Ramaswamy, M, and Ramaswamy, S}
abstractNote = {The maximum principle for classical and viscosity subsolutions of a general degenerate elliptic linear second order operator with second and first order terms alone on bounded open subsets is proved under various assumptions on the coefficients. A general sufficient condition is given when the coefficients are continuous. A counter example is also given to show that the maximum principle is not valid even for classical subsolutions of degenerate elliptic operators in general. (author). 3 refs.}
place = {IAEA}
year = {1994}
month = {Sep}
}