Results 1 to 10 of about 168,889,745 (202)

Estimates for evolutionary partial differential equations in classical function spaces

open access: yesForum of Mathematics, Sigma, 2023
We establish new local and global estimates for evolutionary partial differential equations in classical Banach and quasi-Banach spaces that appear most frequently in the theory of partial differential equations.
Alejandro J. Castro   +3 more
doaj   +1 more source

On a New Class of Singular Integro-differential Equations

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper for a new class of model and non-model partial integro-differential equations with singularity in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions.
T.K. Yuldashev, S.K. Zarifzoda
doaj   +1 more source

Stability analysis of partial differential variational inequalities in Banach spaces

open access: yesNonlinear Analysis, 2020
In this paper, we study a class of partial differential variational inequalities. A general stability result for the partial differential variational inequality is provided in the case the perturbed parameters are involved in both the nonlinear mapping ...
Faming Guo   +3 more
doaj   +1 more source

One-Way Wave Operator

open access: yesAcoustics, 2022
The second-order partial differential wave Equation (Cauchy’s first equation of motion), derived from Newton’s force equilibrium, describes a standing wave field consisting of two waves propagating in opposite directions, and is, therefore, a “two-way ...
Hans-Joachim Raida
doaj   +1 more source

100 years of Weyl’s law

open access: yesBulletin of Mathematical Sciences, 2016
We discuss the asymptotics of the eigenvalue counting function for partial differential operators and related expressions paying the most attention to the sharp asymptotics.
Victor Ivrii
doaj   +1 more source

Skeleton Decomposition of Linear Operators in the Theory of Nonregular Systems of Partial Differential Equations

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2017
The linear system of partial differential equations is considered. It is assumed that there is the irreversible linear operator in the main part of the system, which enjoy the skeletal decomposition.
N.A. Sidorov, D.N. Sidorov
doaj   +1 more source

Spin 2 operators in holographic 4d N = 2 $$ \mathcal{N}=2 $$ SCFTs

open access: yesJournal of High Energy Physics, 2019
A broad class of holographic duals for 4d N = 2 $$ \mathcal{N}=2 $$ SCFTs is based on the general half-BPS AdS 5 solutions to M-theory constructed by Lin, Lunin and Maldacena, and their Kaluza-Klein reductions to Type IIA.
Kevin Chen   +2 more
doaj   +1 more source

Direct and Inverse Fractional Abstract Cauchy Problems

open access: yesMathematics, 2019
We are concerned with a fractional abstract Cauchy problem for possibly degenerate equations in Banach spaces. This form of degeneration may be strong and some convenient assumptions about the involved operators are required to handle the direct problem.
Mohammed AL Horani   +2 more
doaj   +1 more source

Construction of Mikusinski operational calculus based on the convolution algebra of distributions. Methods for solving mathematical physics problems

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018
A new justification is given for the Mikusinsky operator calculus entirely based on the convolution algebra of generalized functions $D'_+$ and $D'_-$, as applied to the solution of linear partial differential equations with constant coefficients in the ...
Iosif L Kogan
doaj   +1 more source

CONSTRUCTION OF CONSERVATION LAWS FOR NONLINEAR EQUATIONS CONNECTED WITH THE DIRAC SCATTERING OPERATOR

open access: yesНаука. Инновации. Технологии, 2022
Introduction: the problem of integrability of nonlinear partial differential equations, even for the second order, is not always an obvious fact, since inding a general solution is possible only in rare cases.
Tatyana Valentinovna Redkina
doaj  

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