典型文献
The Existence and Uniqueness of a New Boundary Value Problem(Type of Problem"E")for a Class of Semi Linear(Power Type Nonlinearities)Mixed Hyperbolic-Elliptic System Equations of Keldysh Type with Changing Time Direction
文献摘要:
In present work studied the new boundary value problem for semi linear(Power-type nonlinearities)system equations of mixed hyperbolic-elliptic Keldysh type in the multivariate dimension with the changing time direction.Considered problem and equation belongs to the modern level partial differential equations.Applying methods of functional analysis,topological methods,"ε"-regularizing.and continuation by the parameter at the same time with aid of a prior estimates,under assumptions conditions on coefficients of equations of system,the existence and uniqueness of generalized and regular solutions of a boundary problem are established in a weighted Sobolev's space.In this work one of main idea consists of show that the new boundary value problem which investigated in case of linear system equations can be well-posed when added nonlinear terms to this linear system equations,moreover in this case constructed new weithged spaces,the identity between of strong and weak solutions is established.
文献关键词:
中图分类号:
作者姓名:
Mahammad A.NURMAMMADOV
作者机构:
Shemakhi Astrophysical Observatory,named after Nasreddin Tusi of the Azerbaijan's Ministry of Science and Education,AZ-5626,Shemakha,district,Pirkuli,Azerbaijan
文献出处:
引用格式:
[1]Mahammad A.NURMAMMADOV-.The Existence and Uniqueness of a New Boundary Value Problem(Type of Problem"E")for a Class of Semi Linear(Power Type Nonlinearities)Mixed Hyperbolic-Elliptic System Equations of Keldysh Type with Changing Time Direction)[J].应用数学学报(英文版),2022(04):763-777
A类:
Nonlinearities,weithged
B类:
Existence,Uniqueness,New,Boundary,Value,Problem,Type,Class,Semi,Linear,Power,Mixed,Hyperbolic,Elliptic,System,Equations,Keldysh,Changing,Time,Direction,In,present,work,studied,new,boundary,value,problem,semi,type,nonlinearities,system,equations,mixed,hyperbolic,elliptic,multivariate,dimension,changing,direction,Considered,belongs,modern,level,partial,differential,Applying,methods,functional,analysis,topological,regularizing,continuation,by,parameter,same,aid,prior,estimates,under,assumptions,conditions,coefficients,existence,uniqueness,generalized,solutions,are,established,weighted,Sobolev,this,one,main,idea,consists,show,that,which,investigated,case,can,well,posed,when,added,terms,moreover,constructed,spaces,identity,between,strong,weak
AB值:
0.632389
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