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Elliptic equations in a special multidimensional cone with potential operators
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DOI：10.1016/j.chaos.2026.118415.png)
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Abstract
En 中文
A model elliptic pseudo-differential equation is studied in a special cone in multidimensional space. Using a special factorization of an elliptic symbol the authors obtain a certain representation to the solution. It permits to find conditions to the right hand side so that the solution belongs to certain Sobolev-Slobodetskii space in the cone. Based on these conditions some equations with potential like operators were reduced to a certain system of functional integral equations.
Keywords:
Elliptic pseudo-differential equation
Wave factorization
Solvability conditions
Equation with potential operators
Journal
C
IF:
5.6
Papers:
323
Citations:
0