On changes of measure in stochastic volatility models.
On chaos in difference and differential-difference equations
On Chemotaxis Models with Cell Population Interactions
This paper extends the volume filling chemotaxis model [18, 26] by taking into account the cell population interactions. The extended chemotaxis models have nonlinear diffusion and chemotactic sensitivity depending on cell population density, which is a modification of the classical Keller-Segel model in which the diffusion and chemotactic sensitivity are constants (linear). The existence and boundedness of global solutions of these models are discussed and...
On classical solutions of mixed boundary problems for one-dimensional parabolic equation of second order.
On classical solutions of the relativistic Vlasov-Klein-Gordon system.
On closed-form solutions of some nonlinear partial differential equations.
On compactness of solutions to the compressible isentropic Navier-Stokes equations when the density is not square integrable
We show compactness of bounded sets of weak solutions to the isentropic compressible Navier-Stokes equations in three space dimensions under the hypothesis that the adiabatic constant .
On comparison principles for parabolic equations with nonlocal boundary conditions.
On complex-valued solutions to a 2D eikonal equation
On Composite Mesh Difference Methods for Hyperbolic Differential Equations.
On Conjugate Gradient Type Methods and Polynomial Preconditioners for a Class of Complex Non-Hermitian Matrices.
On connecting orbits of semilinear parabolic equations on .
On construction of weak solutions with higher integrable gradients to linear hyperbolic partial differential systems
On contact equivalence of holomorphic Monge-Ampére equations.
On contact problems for nonlinear parabolic functional differential equations.
On continuation of regular solutions of linear partial differential equations
On Continuity of Singular Integral Operators in Sobolev Spaces.
On Continuous Dependence, on Noncharacteristic Cauchy Data, for Level Lines of Solutions of the Heat Equation.
On continuous solutions to linear hyperbolic systems
We study the conditions under which the Cauchy problem for a linear hyperbolic system of partial differential equations of the first order in two independent variables has a unique continuous solution (not necessarily Lipschitz continuous). In addition to obvious continuity assumptions on coefficients and initial data, the sufficient conditions are the bounded variation of the left eigenvectors along the characteristic curves.
On controllability, parametrization, and output tracking of a linearized bioreactor model.