Existence and uniqueness of solutions of SDEs with discontinuous drift and finite activity jumps [PDF]
In this letter we prove existence and uniqueness of strong solutions to multi-dimensional SDEs with discontinuous drift and finite activity jumps.
Paweł Przybyłowicz +2 more
semanticscholar +1 more source
Uniqueness implies existence for (n,p) boundary value problems [PDF]
The uniqueness of solutions of certain boundary value problems implies their existence for the nth order nonlinear ordinary differential equation y(n)=f(x,y,y',y'',....,y(n-1)) This existence is established by using shooting methods and yields results ...
錢傳仁; Chyan, Chuan-jen; Henderson, J.
core +1 more source
Existence and uniqueness of solution for multidimensional parabolic partial differential‐algebraic equations arising in semiconductor modeling [PDF]
This paper concerns with a compact network model combined with distributed models for semiconductor devices. For linear RLC networks containing distributed semiconductor devices, we construct a mathematical model that joins the differential-algebraic ...
Alì, Giuseppe +3 more
core +1 more source
Existence and uniqueness of optimal matrix scalings [PDF]
The authors consider the optimal diagonal scaling problem for a complex \(n \times n\) matrix \(M\). Using the reformulation as a convex optimization problem, they show that the set of optimal diagonal scalings is nonempty and bounded if and only if \(M\) is irreducible.
V. Balakrishnan 0001, S. Boyd
openaire +2 more sources
A uniqueness result for the continuity equation in two dimensions [PDF]
We characterize the autonomous, divergence-free vector fields $b$ on the plane such that the Cauchy problem for the continuity equation $\partial_t u + div(bu) = 0$ admits a unique bounded solution (in the weak sense) for every bounded initial datum; the
Crippa, Gianluca +8 more
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LARGE SOLUTIONS FOR YAMABE AND SIMILAR PROBLEMS ON DOMAINS IN RIEMANNIAN MANIFOLDS [PDF]
We present a unified approach to study large positive solutions (i.e., u(x) -> infinity as x -> partial derivative Omega) of the equation Delta u + hu - k psi(u) = -f in an arbitrary domain Omega.
Martin Dindoš, Dindos, Martin; id_orcid
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Existence of weak solutions for abstract hyperbolic-parabolic equations
In this paper we study the Existence and Uniqueness of solutions for the following Cauchy problem:A2u″(t)+A1u′(t)+A(t)u(t)+M(u(t))=f(t), t∈(0,T) (1)u(0)=u0; A2u′(0)=A212u1; where A1 and A2 are bounded linear operators in a ...
Marcondes Rodrigues Clark
doaj +1 more source
Qualitative aspects of the quasistationary electromagnetic field [PDF]
The paper proposes some properties of theelectromagnetic field magnitudes so that theuniqueness and existence theorems may beformulated. The field equations are written asdistribution. The constitutive relation may be nonlinear.
Mircea ARION +4 more
doaj
Algorithms for checking existence and uniqueness. [PDF]
This presents the algorithms for checking existence and uniqueness and proves that they give the correct results. (ZIP)
Matthew J. Penn (12568688) +1 more
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Tangents to subsolutions: existence and uniqueness, Part I [PDF]
There is an interesting potential theory associated to each degenerate elliptic, fully nonlinear equation f ( D 2 u
Harvey, F. Reese, Lawson, H. Blaine
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