On the spectcral theory of elliptic differential operators. I.
On the Spectra of Schrödinger Operators with a Complex Potential.
On the spectral geometry of algebraic curves.
On the spectral theory of pseudo-differential elliptic boundary problems
On the spectrum and eigenfunctions of the Schrödinger operator with Aharonov–Bohm magnetic field.
On the spectrum of a nonlinear planar problem
On the Spectrum of Non-Compact Manifolds with Finite Volume.
On the spectrum of the negative Laplacian for general doubly-connected bounded domains.
On the spectrum of the -biharmonic operator.
On the spectrum of the -Laplacian operator for Neumann eigenvalue problems with weights.
On the spectrum of the p-biharmonic operator involving p-Hardy's inequality
In this paper, we study the spectrum for the following eigenvalue problem with the p-biharmonic operator involving the Hardy term: in Ω, . By using the variational technique and the Hardy-Rellich inequality, we prove that the above problem has at least one increasing sequence of positive eigenvalues.
On the spectrum of the reduced wave operators with cylindrical discontinuity.
On the speed of spread for fractional reaction-diffusion equations.
On the stability analysis of Darboux problem on both bounded and unbounded domains
In this paper, we first investigate the existence and uniqueness of solution for the Darboux problem with modified argument on both bounded and unbounded domains. Then, we derive different types of the Ulam stability for the proposed problem on these domains. Finally, we present some illustrative examples to support our results.
On the stability of Bravais lattices and their Cauchy–Born approximations
We investigate the stability of Bravais lattices and their Cauchy–Born approximations under periodic perturbations. We formulate a general interaction law and derive its Cauchy–Born continuum limit. We then analyze the atomistic and Cauchy–Born stability regions, that is, the sets of all matrices that describe a stable Bravais lattice in the atomistic and Cauchy–Born models respectively. Motivated by recent results in one dimension on the stability of atomistic/continuum coupling methods, we analyze...
On the stability of Bravais lattices and their Cauchy–Born approximations*
We investigate the stability of Bravais lattices and their Cauchy–Born approximations under periodic perturbations. We formulate a general interaction law and derive its Cauchy–Born continuum limit. We then analyze the atomistic and Cauchy–Born stability regions, that is, the sets of all matrices that describe a stable Bravais lattice in the atomistic and Cauchy–Born models respectively. Motivated by recent results in one dimension on the stability of atomistic/continuum coupling methods,...
On the stability of compressible Navier-Stokes-Korteweg equations
We consider the compressible Navier-Stokes-Korteweg (N-S-K) equations. Through a remarkable identity, we reveal a relationship between the quantum hydrodynamic system and capillary fluids. Using some interesting inequalities from quantum fluids theory, we prove the stability of weak solutions for the N-S-K equations in the periodic domain , when N=2,3.
On the stability of difference schemes for nonlinear elliptic differential equations with boundary conditions of Dirichlet type
On the stability of solitary waves for classical scalar fields
On the stability of solutions of impulsive nonlinear parabolic equations