Results 51 to 60 of about 328 (78)
Nonlinear evolution equations on Banach space
International Journal of Stochastic Analysis, Volume 4, Issue 3, Page 187-202, 1991., 1991 In this paper we consider the questions of existence and uniqueness of solutions of certain semilinear and quasilinear evolution equations on Banach space. We consider both deterministic and stochastic systems. The approach is based on semigroup theory and fixed point theorems.
N. U. Ahmed
wiley +1 more source
Inhomogeneous Boundary Value Problem for Hartree Type Equation
, 2009 In this paper, we settle the problem for time-dependent Hartree equation with inhomogeneous boundary condition in a bounded Lipschitz domain in $\mathbb{R}^{N}$.
Adams R. A., Li Ma, Pei Cao
core +1 more source
Global existence results for nonlinear Schrodinger equations with quadratic potentials [PDF]
, 2004 We prove that no finite time blow up can occur for nonlinear Schroedinger equations with quadratic potentials, provided that the potential has a sufficiently strong repulsive component.
Umr Cnrs, Universite ́ Bordeaux
core +3 more sources
Well-Posedness of the Cauchy Problem for Inhomogeneous Time-Fractional Pseudo-Differential Equations [PDF]
, 2006 Mathematics Subject Classification: 26A33, 45K05, 35A05, 35S10, 35S15, 33E12In the present paper the Cauchy problem for partial inhomogeneous pseudo-differential equations of fractional order is analyzed. The solvability theorem for the Cauchy problem in
Saydamatov, Erkin
core
Degenerate dispersive equations arising in the study of magma dynamics
, 2006 An outstanding problem in Earth science is understanding the method of transport of magma in the Earth's mantle. Models for this process, transport in a viscously deformable porous media, give rise to scalar degenerate, dispersive, nonlinear wave ...
Adams R A +21 more
core +1 more source
Oleinik type estimates for the Ostrovsky-Hunter eequation [PDF]
, 2014 The Ostrovsky-Hunter equation provides a model for small-amplitude long waves in a rotating fluid of finite depth. It is a nonlinear evolution equation. In this paper we study the well-posedness for the Cauchy problem associated to this equation within a
Coclite, Giuseppe Maria, Lorenzo Di Ruvo
core
A Short Proof of Increased Parabolic Regularity
, 2015 We present a new, short proof of the increased regularity obtained by solutions to uniformly parabolic partial differential equations. Though this setting is fairly introductory, our new method of proof, which uses a priori estimates, can be extended to ...
Michalowski, Nicholas +1 more
core +1 more source
Numerical solution of diffusive HBV model in a fractional medium. [PDF]
Springerplus, 2016 Owolabi KM.
europepmc +1 more source
Some models of Cahn-Hilliard equations in nonisotropic media
, 2000 A. Miranville
semanticscholar +1 more source