Results 41 to 50 of about 235,569 (171)

Parabolic oblique derivative problem in generalized Morrey spaces

open access: yes, 2013
We study the regularity of the solutions of the oblique derivative problem for linear uniformly parabolic equations with VMO coefficients. We show that if the right-hand side of the parabolic equation belongs to certain generalized Morrey space than the ...
A Akbulut   +19 more
core   +1 more source

Qualitative analysis and optical solitons for the (1+1)-dimensional Biswas-Milovic equation with parabolic law and nonlocal nonlinearity

open access: yesResults in Physics
In this paper, the (1+1)-dimensional Biswas-Milovic equation with parabolic law and nonlocal nonlinearity is studied. Firstly, the Biswas-Milovic equation with parabolic law and nonlocal nonlinearity is transformed into ordinary differential equation ...
Zhao Li, Ejaz Hussain
doaj   +1 more source

The generalized MIC-Kepler system

open access: yes, 2003
This paper deals with dynamical system that generalizes the MIC-Kepler system. It is shown that the Schr\"{o}dinger equation for this generalized MIC-Kepler system can be separated in spherical and parabolic coordinates. The spectral problem in spherical
Bellucci S.   +20 more
core   +3 more sources

Boundary value problems for discontinuously loaded parabolic equations

open access: yesВестник Самарского университета: Естественнонаучная серия
The article deals with boundary value problems for a discontinuously loaded parabolic equation with a Riemann – Liouville fractional integro-differentiation operator with variable coefficients.
Mukhamed M. Karmokov   +2 more
doaj   +1 more source

Variable Step Size Solution of Standard Parabolic Equation in Complex Environment

open access: yesXibei Gongye Daxue Xuebao, 2019
Aiming at the problem that it is difficult to balance the accuracy and velocity of the fixed-step solution of standard parabolic equation in the study of radio wave propagation in a wide range of complex environments, a variable-step solution method of ...

doaj   +1 more source

Analytical Rational Solitons of the Modified Lakshmanan-Porsezian-Daniel Equation

open access: yesUniversal Journal of Mathematics and Applications, 2023
In this paper, the Lakshmanan-Porsezian-Daniel (LPD) equation is studied. New analytical rational solitons to the LPD equation are presented by an ansatz method.
İlker Burak Giresunlu, Bengi Yıldız
doaj   +1 more source

Factorization of the Non-Stationary Schrodinger Operator

open access: yes, 2007
We consider a factorization of the non-stationary Schrodinger operator based on the parabolic Dirac operator introduced by Cerejeiras/ Kahler/ Sommen. Based on the fundamental solution for the parabolic Dirac operators, we shall construct appropriated ...
Cerejeiras, P., Vieira, N.
core   +1 more source

Classical and weak solutions of the partial differential equations associated with a class of two-point boundary value problems

open access: yesBoundary Value Problems, 2018
This paper is concerned with a kind of first-order quasilinear parabolic partial differential equations associated with a class of ordinary differential equations with two-point boundary value problems. We prove that the function given by the solution of
Ning Ma, Zhen Wu
doaj   +1 more source

On the Weak Characteristic Function Method for a Degenerate Parabolic Equation

open access: yesJournal of Function Spaces, 2019
For a nonlinear degenerate parabolic equation, how to impose a suitable boundary value condition to ensure the well-posedness of weak solutions is a very important problem.
Huashui Zhan
doaj   +1 more source

Uniqueness and long time asymptotics for the parabolic-parabolic Keller-Segel equation

open access: yes, 2016
The present paper deals with the parabolic-parabolic Keller-Segel equation in the plane inthe general framework of weak (or "free energy") solutions associated to an initial datum with finite mass $M\textless{} 8\pi$, finite second log-moment and finite ...
Carrapatoso, Kleber, Mischler, Stéphane
core  

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