Search
Search Results
-
A Priori Estimate of Solutions of One Boundary-Value Problem in a Strip for a Higher-Order Degenerate Elliptic Equation
In this paper, we prove coercive a priori estimates of solutions of a Dirichlet-type boundary-value problem in a strip for a certain higher-order...
-
On Certain Operator Families
In this paper, we propose an abstract scheme for the study of special operators and apply this scheme to examining elliptic pseudo-differential...
-
Fredholmness of pseudo-differential operators with nonregular symbols
We establish the Fredholmness of a pseudo-differential operator whose symbol is of class C 0, σ , 0 < σ < 1, in the spatial variable. Our work here...
-
Mixed Problem for a Higher-Order Nonlinear Pseudoparabolic Equation
We examine the unique generalized solvability of the mixed problem for a higher-order nonlinear pseudoparabolic equation with two parameters in mixed...
-
Continuity of Almost Harmonic Maps with the Perturbation Term in a Critical Space
The authors study the continuity estimate of the solutions of almost harmonic maps with the perturbation term f in a critical integrability class...
-
On Features of the Solution of a Boundary-Value Problem for the Multidimensional Integro-Differential Benney–Luke Equation with Spectral Parameters
In this paper, we consider the problems on the solvability and constructing solutions of one nonlocal boundary-value problem for the...
-
Pseudo-Differential Operators of Homogeneous Symbol Class Associated with the Weinstein Transform
In this paper, pseudo-differential operators with homogeneous symbol classes associated with the Weinstein transform are introduced. The boundedness...
-
A Direct Method of Moving Planes to Fractional Power SubLaplace Equations on the Heisenberg Group
We give the direct method of moving planes for solutions to the conformally invariant fractional power subLaplace equation on the Heisenberg group....
-
Determining of Coefficients and the Classical Solvability of a Nonlocal Boundary-Value Problem for the Benney–Luke Integro-Differential Equation with Degenerate Kernel
Using the Fourier method of separation of variables, we examine the classical solvability and construct solutions of a nonlocal inverse...
-
Ellipticity of Operators Associated with Morse–Smale Diffeomorphisms
We consider the operator algebra generated by pseudodifferential operators on a closed smooth surface and shift operators induced by a Morse– Smale...
-
On a Boundary-Value Problem for a Fourth-Order Partial Integro-Differential Equation with Degenerate Kernel
In this paper, the classical solvability of a nonlocal boundary-value problem for a three dimensional, homogeneous, fourth-order, pseudoelliptic...
-
Solvability and complex limit bicharacteristics
We shall study the solvability of pseudodifferential operators which are not of principal type. The operator will have complex principal symbol...
-
On Szegő Formulas for Truncated Wiener–Hopf Operators
We consider functions of multi-dimensional versions of truncated Wiener–Hopf operators with smooth symbols, and study the scaling asymptotics of...
-
Pseudo-Differential Calculus in Anisotropic Gelfand–Shilov Setting
We study some classes of pseudo-differential operators with symbols a admitting anisotropic exponential type growth at infinity. We deduce map**...