On Some Boundary Value Problems for Multidimensional Higher Order Equations of Mixed Type

被引:0
作者
S. Z. Dzhamalov
S. G. Pyatkov
机构
[1] Gubkin Russian State University of Oil and Gas (National Research University),Romanovskii Institute of Mathematics
[2] Yugra State University,undefined
[3] Sobolev Institute of Mathematics,undefined
来源
Siberian Mathematical Journal | 2020年 / 61卷
关键词
mixed type equation; nonlocal boundary value problem; boundary value problem; generalized solution; regular solution; uniqueness; existence; 517.95;
D O I
暂无
中图分类号
学科分类号
摘要
We describe the statements of boundary value problems for multidimensional higher order equations of mixed type and propose a method for constructing coercive boundary value problems. Also, we prove the generalized and regular solvability of these boundary value problems in Sobolev spaces.
引用
收藏
页码:610 / 625
页数:15
相关论文
共 10 条
[1]  
Glazatov SN(1985)Nonlocal boundary value problems for certain equations of mixed type in a rectangle Sib. Mat. Zh. 26 162-164
[2]  
Karatoproklieva MG(1991)On a nonlocal boundary value problem for the equation of mixed type Differ. Uravn. 27 68-79
[3]  
Jamalov SZ(2017)On correctness of nonlocal edge problem with constant coefficient for the multidimensional second order equation of mixed type Math. Notes of NEFU 24 17-28
[4]  
Dzhamalov SZ(2018)The nonlocal boundary value problem with constant coefficients for the multidimensional equation of the mixed type of the second kind, the second order J. Siber. Federal University 11 472-461
[5]  
Djamalov SZ(2019)On the smoothness of the solution of a nonlocal boundary value problem for the multidimensional second-order equation of the mixed type of the second kind in Sobolev space Middle Volga Mathematical Society Journal 21 24-33
[6]  
Chueshev AV(2002)About one high-order linear equation of mixed type Sib. Math. J. 43 363-378
[7]  
Grisvard P(1969)Équations différentielles abstraites Ann. Sci. Éc. Norm. Supér. (4) 2 311-395
[8]  
Grisvard P(1967)Caractérisation de quelques espaces d’interpolation Arch. Rat. Mech. 25 40-63
[9]  
Grisvard P(1966)Commutativité de deux foncteurs d’interpolation at applications J. Math. Pures Appl. 45 143-206
[10]  
Chueshev AV(2000)Estimates of the resolvent for ordinary differential operators of mixed type Mat. Tr. 3 144-196