Results 11 to 20 of about 108 (104)

Interpolation inequalities for weak solutions of nonlinear parabolic systems [PDF]

Journal of Inequalities and Applications, 2011
The authors investigate differentiability of the solutions of nonlinear parabolic systems of order 2 m in divergence form of the following type ∑ | α | ≤ m ( - 1 ) | α | D α a α X , D u +
Floridia Giuseppe, Ragusa Maria
doaj   +2 more sources

Quasilinear parabolic equations with p(x)-Laplacian diffusion terms and nonlocal boundary conditions [PDF]

, 2019
In this study, we prove the existence of local solution for a quasi linear generalized parabolic equation with nonlocal boundary conditions for an elliptic operator involving the variable-exponent nonlinearities, using Faedo-Galerkin arguments and ...
RAHMOUNE, Abita, BENABDERRAHMANE, Benyattou   +1 more
core   +1 more source

On some nonlinear elliptic systems with coercive perturbations in RN [PDF]

, 2003
A nonlinear elliptic system involving the p-Laplacian is considered in the whole RN: Existence of nontrivial solutions is obtained by applying critical point theory; also a regularity result is established.A nonlinear elliptic system involving the p ...
El Manouni, Said, Touzani, Abdelfattah
core   +1 more source

Carleman estimates and unique continuation property for abstract elliptic equations [PDF]

, 2012
The unique continuation theorems for elliptic differential-operator equations with variable coefficients in vector-valued L (p) -space are investigated. The operator-valued multiplier theorems, maximal regularity properties and the Carleman estimates for
Shakhmurov, Veli B., Veli B Shakhmurov
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A Fractional Inequality on Compact Manifolds and Lie Groups [PDF]

, 2018
2010 Mathematics Subject Classification: 35B45 ...
Tarulli, Mirko, Venkov, George
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On initial boundary value problem with Dirichlet integral conditions for a hyperbolic equation with the Bessel operator

Journal of Applied Mathematics, Volume 2003, Issue 10, Page 487-502, 2003., 2003
We consider a mixed problem with Dirichlet and integral conditions for a second‐order hyperbolic equation with the Bessel operator. The existence, uniqueness, and continuous dependence of a strongly generalized solution are proved. The proof is based on an a priori estimate established in weighted Sobolev spaces and on the density of the range of the ...
Abdelfatah Bouziani
wiley   +1 more source

Generalized Cahn‐Hilliard equations based on a microforce balance

Journal of Applied Mathematics, Volume 2003, Issue 4, Page 165-185, 2003., 2003
We present some models of Cahn‐Hilliard equations based on a microforce balance proposed by M. Gurtin. We then study the existence and uniqueness of solutions.
Alain Miranville
wiley   +1 more source

On global existence and nonexistence of solutions to a quasi-linear wave equation with memory, nonlinear damping and source terms

Scientific African, 2021
In this paper, we consider a quasi-linear wave equation with memory, nonlinear source and damping termsutt−Δut−∑i=1n∂∂xiσi(uxi)+∫0tm(t−s)Δuds+f(ut)=g(u).Under some polynomial growth conditions on the nonlinear functions σi(i=1,2,…,n),  f and g, we obtain
Paul A. Ogbiyele
doaj   +1 more source

Boundary value problem with integral conditions for a linear third‐order equation

Journal of Applied Mathematics, Volume 2003, Issue 11, Page 553-567, 2003., 2003
We prove the existence and uniqueness of a strong solution for a linear third‐order equation with integral boundary conditions. The proof uses energy inequalities and the density of the range of the generated operator.
M. Denche, A. Memou
wiley   +1 more source

Strichartz estimates for orthonormal families of initial data and weighted oscillatory integral estimates

Forum of Mathematics, Sigma, 2021
We establish new Strichartz estimates for orthonormal families of initial data in the case of the wave, Klein–Gordon and fractional Schrödinger equations.
Neal Bez, Sanghyuk Lee, Shohei Nakamura
doaj   +1 more source