Results 41 to 50 of about 1,232 (95)

Mixed problem with integral boundary condition for a high order mixed type partial differential equation

open access: yes, 2003
International Journal of Stochastic Analysis, Volume 16, Issue 1, Page 69-79, 2003.
M. Denche, A. L. Marhoune
wiley   +1 more source

Mixed problem with nonlocal boundary conditions for a third‐order partial differential equation of mixed type

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 7, Page 417-426, 2001., 2001
We study a mixed problem with integral boundary conditions for a third‐order partial differential equation of mixed type. We prove the existence and uniqueness of the solution. The proof is based on two‐sided a priori estimates and on the density of the range of the operator generated by the considered problem.
M. Denche, A. L. Marhoune
wiley   +1 more source

Spatial decay estimates for a class of nonlinear damped hyperbolic equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 1, Page 17-26, 2001., 2001
This paper is concerned with investigating the spatial decay estimates for a class of nonlinear damped hyperbolic equations. In addition, we compare the solutions of two‐dimensional wave equations with different damped coefficients and establish an explicit inequality which displays continuous dependence on this coefficient.
F. Tahamtani, K. Mosaleheh, K. Seddighi
wiley   +1 more source

A symmetrization result for a class of anisotropic elliptic problems

open access: yes, 2017
We prove estimates for weak solutions to a class of Dirichlet problems associated to anisotropic elliptic equations with a zero order term.Comment: arXiv admin note: text overlap with arXiv:1607 ...
Alberico, Angela   +2 more
core   +1 more source

Biharmonic eigen‐value problems and Lp estimates

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 3, Page 469-480, 1990., 1989
Biharmonic eigen‐values arise in the study of static equilibrium of an elastic body which has been suitably secured at the boundary. This paper is concerned mainly with the existence of and Lp‐estimates for the solutions of certain biharmonic boundary value problems which are related to the first eigen‐values of the associated biharmonic operators. The
Chaitan P. Gupta, Ying C. Kwong
wiley   +1 more source

Global in time well-posedness of a three-dimensional periodic regularized Boussinesq system

open access: yesDemonstratio Mathematica
Global in time weak solution to a regularized periodic three-dimensional Boussinesq system is proved to exist in energy spaces. This solution depends continuously on the initial data. In particular, it is unique.
Almutairi Shahah
doaj   +1 more source

Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings

open access: yesAdvanced Nonlinear Studies, 2022
The chemotaxis–Stokes system nt+u⋅∇n=∇⋅(D(n)∇n)−∇⋅(nS(x,n,c)⋅∇c),ct+u⋅∇c=Δc−nc,ut=Δu+∇P+n∇Φ,∇⋅u=0,\left\{\begin{array}{l}{n}_{t}+u\cdot \nabla n=\nabla \cdot (D\left(n)\nabla n)-\nabla \cdot (nS\left(x,n,c)\cdot \nabla c),\\ {c}_{t}+u\cdot \nabla c ...
Winkler Michael
doaj   +1 more source

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

On Bellman‐Bihari integral inequalities

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 1, Page 97-103, 1982., 1982
Integral inequalities of the Bellman‐Bihari type are established for integrals involving an arbitrary number of independent variables.
Eutiquio C. Young
wiley   +1 more source

A weighted W2,p-a priori bound for a class of elliptic operators

open access: yes, 2013
We prove a weighted W2,p-a priori bound, p>1, for a class of uniformly elliptic second-order differential operators on unbounded domains. We deduce a uniqueness and existence result for the solution of the related Dirichlet problem.MSC: 35J25, 35B45 ...
S. Monsurrò, M. Transirico
semanticscholar   +1 more source

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