[PDF][PDF] Radial solutions of a class of iterated partial differential equations
N Ozalp, A Cetinkaya - Czechoslovak Mathematical Journal, 2005 - avesis.gazi.edu.tr
Czechoslovak Mathematical Journal, 2005•avesis.gazi.edu.tr
… In [1], Almansi gave an expansion formula for the solutions of the Laplace equation. In [2],
Altın generalized the idea to a wide range of a class of singular partial differential equations
and obtained Lord Kelvin principle for this class of equations. … In addition, if u is any
solution of the equation Lu = 0, then we conclude that for any nonnegative integer i, (ln r)iu
is also a solution of the iterated equation Lku = 0 (k ⩾ 2). …
Altın generalized the idea to a wide range of a class of singular partial differential equations
and obtained Lord Kelvin principle for this class of equations. … In addition, if u is any
solution of the equation Lu = 0, then we conclude that for any nonnegative integer i, (ln r)iu
is also a solution of the iterated equation Lku = 0 (k ⩾ 2). …
We give some expansion formulas and the Kelvin principle for solutions of a class of iterated equations of elliptic type.
avesis.gazi.edu.tr
以上显示的是最相近的搜索结果。 查看全部搜索结果