Results 11 to 20 of about 4,586 (235)

Characteristics of Conservation Laws for Difference Equations [PDF]

open access: yes, 2013
Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic. This function is used to find conservation laws, to prove equivalence between conservation laws, and to prove the ...
Hydon, PE   +3 more
core   +1 more source

Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales [PDF]

open access: yes, 2007
Numerical upscaling of problems with multiple scale structures have attracted increasing attention in recent years. In particular, problems with non-separable scales pose a great challenge to mathematical analysis and simulation.
Zhang, Lei
core   +1 more source

Some Modified Bifurcation Problems with Application to Imperfection Sensitivity in Buckling [PDF]

open access: yes, 1972
The branching theory of solutions of certain nonlinear elliptic partial differential equations is developed, when the nonlinear term is perturbed from unforced to forced.
Keener, James Paul
core   +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

On the adjoint of a symmetric operator [PDF]

open access: yes, 2007
In general it is a non-trivial task to determine the adjoint S* of an unbounded symmetric operator S in a Hilbert or Krein space. We propose a method to specify S* explicitly which makes use of two boundary mappings that satisfy an abstract Green's ...
Meda S.   +47 more
core   +1 more source

Some contributions to stochastic differential equations

open access: yes, 2022
This thesis elaborates topics on a type of McKean–Vlasov stochastic differential equations and forward–backward stochastic differential equations arising from physics models. Mainly, this thesis is divided into three parts.
Yao, Yuhan
core   +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  

Schrödinger operators with δ and δ′-potentials supported on hypersurfaces

open access: yes, 2013
Self-adjoint Schrödinger operators with δ and δ′-potentials supported on a smooth compact hypersurface are defined explicitly via boundary conditions.
Lotoreichik, Vladimir   +2 more
core   +1 more source

Boundary value problems for elliptic partial differential operators on bounded domains

open access: yes, 2007
For a symmetric operator or relation A with infinite deficiency indices in a Hilbert space we develop an abstract framework for the description of symmetric and self-adjoint extensions A_Θ of A as restrictions of an operator or relation T which is a core
Behrndt, Jussi   +2 more
core   +1 more source

Darboux transformation with dihedral reduction group [PDF]

open access: yes, 2014
We construct the Darboux transformation with Dihedral reduction group for the 2-dimensional generalisation of the periodic Volterra lattice. The resulting Bäcklund transformation can be viewed as a nonevolutionary integrable differential difference ...
Papamikos, Georgios   +6 more
core   +1 more source

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