On Fokker-Planck and linearized Korteweg-de Vries type equations with complex spatial variables
-
Ciprian G. Gal
cgal@fiu.edu
-
Sorin G. Gal
galso@uoradea.ro
Downloads
DOI:
https://doi.org/10.4067/S0719-06462013000100003Abstract
In the present work, we construct solutions to a Fokker-Planck type equation with real time variable and complex spatial variable, and prove some properties. The equations are obtained from the complexification of the spatial variable by two different methods. Firstly, one complexifies the spatial variable in the corresponding convolution integral in the solution, by replacing the usual sum of variables (translation) by an exponential product (rotation). Secondly, one complexifies the spatial variable directly in the corresponding evolution equation and then one searches for analytic solutions. These methods are also applied to a linear evolution equation related to the Korteweg-de Vries equation.
Keywords
Most read articles by the same author(s)
- Sorin G. Gal, Remarks on the generation of semigroups of nonlinear operators on p-Fréchet spaces, 0 < p < 1 , CUBO, A Mathematical Journal: Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal
Similar Articles
- U. Traoré, Entropy solution for a nonlinear parabolic problem with homogeneous Neumann boundary condition involving variable exponents , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- George A. Anastassiou, Foundations of generalized Prabhakar-Hilfer fractional calculus with applications , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Hasnae El Hammar, Chakir Allalou, Adil Abbassi, Abderrazak Kassidi, The topological degree methods for the fractional \(p(\cdot)\)-Laplacian problems with discontinuous nonlinearities , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Masaya Kawamura, On an \(a\) \(priori\) \(L^\infty\) estimate for a class of Monge-Ampère type equations on compact almost Hermitian manifolds , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- Fouad Fredj, Hadda Hammouche, On existence results for hybrid \(\psi-\)Caputo multi-fractional differential equations with hybrid conditions , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- N. S. Gopal, J. M. Jonnalagadda, Positive solutions of nabla fractional boundary value problem , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Filippo Cammaroto, Infinitely many solutions for a nonlinear Navier problem involving the \(p\)-biharmonic operator , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- René Erlín Castillo, Babar Sultan, A derivative-type operator and its application to the solvability of a nonlinear three point boundary value problem , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Said Ait Temghart, Chakir Allalou, Adil Abbassi, Existence results for a class of local and nonlocal nonlinear elliptic problems , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- S. S. Dragomir, Several inequalities for an integral transform of positive operators in Hilbert spaces with applications , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
<< < 11 12 13 14 15 16 17 18 > >>
You may also start an advanced similarity search for this article.
