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We consider Navier-Stokes equations for compressible viscous fluids in one dimension. It is a well known fact that if the initial datum are smooth and the initial density is bounded by below by a posi...
We study the multi-channel Gel’fand-Calderón inverse problem in two dimensions, i.e. the inverse boundary value problem for the equation − + v(x) = 0, x 2 D, where v is a smooth matrix-valued...
We determine the uniqueness on starlike obstacles by using the cross section data. We see cross section data as spectral measure in polar coordinate at far field. Cross section scattering data suffic...
Let X be a Riemannian symmetric space of the noncompact type. We prove that the solution of the time-dependent Schr\"odinger equation on X with square integrable initial condition f is identically ze...
This paper is concerned with the proof of the existence and uniqueness of an entropy solution for B urgers equation with additive source term (outside forces act on fluid particles). Some estimates ar...
In this paper, we consider the mathematical formulation and analysis of an optimal control problem for a nonlinear Dissolve Oxy- gen(DO)/ Biological Oxygen Demand(BOD) system with logistic growth t...
In this paper a Cauchy problem for holomorphic differential operators of Fuchsian type is investigated. Using Ovcyannikov techniques and the method of majorants, a necessary and sufficient condition f...
In this paper we obtained existence and uniqueness results for the modified second order slip Reynolds equation modeling the performance of the slider head floating over a rotating disk inside a hard...
In the paper we consider the problem of uniqueness of meromorphic functions sharing one finite nonzero value or one finite nonzero function with their derivatives and answer some open questions posed ...

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