AbstractSuppose that X(x1,x2) is a planar vector field with bounded coefficients and bounded divergence. Suppose in addition that X preserves a volume with Lipschitz continuous density. We prove that there is uniqueness in the Cauchy problem for the transport operator ∂t+X and also uniqueness in the Cauchy problem for X at noncharacteristic hypersurfaces
In this paper, we prove existence and uniqueness of measure solutions for the Cauchy problem associa...
We prove a Lipschitz extension lemma in which the extension procedure simultaneously preserves the L...
We prove uniqueness for two dimensional transport across a noncharacteristic curve, under the hypoth...
AbstractSuppose that X(x1,x2) is a planar vector field with bounded coefficients and bounded diverge...
We prove existence and uniqueness of Radon measure-valued solutions of the Cauchy problem for a firs...
AbstractWe consider the second order Cauchy problemu″+m(|A1/2u|2)Au=0,u(0)=u0,u′(0)=u1, where m:[0,+...
We prove uniqueness for the Calderón problem with Lipschitz conductivities in higher dimensions. Com...
AbstractWe give a new geometric proof to Hörmander's uniqueness theorem in the Cauchy problem for sy...
AbstractWe present some new uniqueness criteria for the Cauchy problem x′(t)=ft,x(t),x(t0)=x0, based...
Consider the Cauchy problem for a hyperbolic $n\times n$ system of conservation laws in one space ...
For a real-valued one dimensional diffusive strict local martingale,, we provide a set of smooth fun...
Adapting some techniques and ideas of McCann [Duke Math. J., 80 (1995), pp. 309–323], we extend a re...
AbstractWe prove existence, uniqueness and gradient estimates of stochastic differential utility as ...
AbstractIn this paper we prove uniqueness theorems of the Cauchy problem for general 2 × 2 genuinely...
AbstractThe Cauchy problem for a multidimensional linear non-homogeneous transport equation in diver...
In this paper, we prove existence and uniqueness of measure solutions for the Cauchy problem associa...
We prove a Lipschitz extension lemma in which the extension procedure simultaneously preserves the L...
We prove uniqueness for two dimensional transport across a noncharacteristic curve, under the hypoth...
AbstractSuppose that X(x1,x2) is a planar vector field with bounded coefficients and bounded diverge...
We prove existence and uniqueness of Radon measure-valued solutions of the Cauchy problem for a firs...
AbstractWe consider the second order Cauchy problemu″+m(|A1/2u|2)Au=0,u(0)=u0,u′(0)=u1, where m:[0,+...
We prove uniqueness for the Calderón problem with Lipschitz conductivities in higher dimensions. Com...
AbstractWe give a new geometric proof to Hörmander's uniqueness theorem in the Cauchy problem for sy...
AbstractWe present some new uniqueness criteria for the Cauchy problem x′(t)=ft,x(t),x(t0)=x0, based...
Consider the Cauchy problem for a hyperbolic $n\times n$ system of conservation laws in one space ...
For a real-valued one dimensional diffusive strict local martingale,, we provide a set of smooth fun...
Adapting some techniques and ideas of McCann [Duke Math. J., 80 (1995), pp. 309–323], we extend a re...
AbstractWe prove existence, uniqueness and gradient estimates of stochastic differential utility as ...
AbstractIn this paper we prove uniqueness theorems of the Cauchy problem for general 2 × 2 genuinely...
AbstractThe Cauchy problem for a multidimensional linear non-homogeneous transport equation in diver...
In this paper, we prove existence and uniqueness of measure solutions for the Cauchy problem associa...
We prove a Lipschitz extension lemma in which the extension procedure simultaneously preserves the L...
We prove uniqueness for two dimensional transport across a noncharacteristic curve, under the hypoth...
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