Results 11 to 20 of about 742,712 (288)
Non autonomous parabolic problems with unbounded coefficients in unbounded domains
Advances in Differential Equations, 2015 Given a class of nonautonomous elliptic operators $\A(t)$ with unbounded coefficients, defined in $\overline{I \times \Om}$ (where $I$ is a right-halfline or $I=\R$ and $\Om\subset \Rd$ is possibly unbounded), we prove existence and uniqueness of the evolution operator associated to $\A(t)$ in the space of bounded and continuous functions, under ...
ANGIULI, Luciana +1 more
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Fredholm differential operators with unbounded coefficients [PDF]
Journal of Differential Equations, 2005 We prove that a first order linear differential operator G with unbounded operator coefficients is Fredholm on spaces of functions on the real line with values in a reflexive Banach space if and only if the corresponding strongly continuous evolution family has exponential dichotomies on both semiaxises and a pair of the ranges of the dichotomy ...
Latushkin, Yuri, Tomilov, Yuri
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Cores for parabolic operators with unbounded coefficients [PDF]
Journal of Differential Equations, 2009 The authors consider the following nonautonomous parabolic Cauchy problem: \[ \begin{cases} D_{s}u(s,x)=(\mathcal{A}u)(s,x), &s>r,\;x\in \mathbb R^N\\ u(r,x)=f(x), &x\in \mathbb R^{N} \end{cases} \quad (r\in \mathbb R) \] where \[ (\mathcal{A}u)(s,x)=\sum_{i,j=1}^{N}q_{ij}(s,x)D_{ij}u(s,x)+\sum_{i=1}^{N}b_{i}(s,x)D_{i}u(s,x),\quad s\in \mathbb R,\;x\in
LORENZI, Luca Francesco Giuseppe +1 more
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Dirichlet problems with anisotropic principal part involving unbounded coefficients [PDF]
Electronic Journal of Differential EquationsThis article establishes the existence of solutions in a weak sense for a quasilinear Dirichlet problem exhibiting anisotropic differential operator with unbounded coefficients in the principal part and full dependence on the gradient in the lower order ...
Dumitru Motreanu, Elisabetta Tornatore
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Affine Processes and Pseudo-Differential Operators with Unbounded Coefficients [PDF]
, 2016 The concept of pseudo-differential operators allows one to study stochastic processes through their symbol. This approach has generated many new insights in recent years. However, most results are based on the assumption of bounded coefficients. In this
Schwarzenberger, Michael
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Ratio Asymptotics for Orthogonal Matrix Polynomials with Unbounded Recurrence Coefficients [PDF]
, 2001 We study ratio asymptotic behaviour for orthogonal matrix polynomials with unbounded recurrence ...
Duran, Antonio J, Daneri-Vias, Enrique
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Electronic Journal of Qualitative Theory of Differential Equations, 2019 We consider the following equation \[-y''+r\left(x\right)y'+q\left(x\right)y=f(x), \] where the intermediate coefficient $r$ is not controlled by $q$ and it is can be strong oscillate. We give the conditions of well-posedness in $L_{p} \left(-\infty ,\,
Kordan Ospanov
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Maximal Regularity Estimates and the Solvability of Nonlinear Differential Equations
Mathematics, 2022 We study a type of third-order linear differential equations with variable and unbounded coefficients, which are defined in an infinite interval. We also consider a non-linear generalization with coefficients that depends on an unknown function.
Myrzagali Ospanov, Kordan Ospanov
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Timelike geodesics in stationary Lorentzian manifolds with unbounded coefficients
, 2005 The aim of this note is to study the existence and multiplicity of timelike geodesics in standard stationary Lorentzian manifolds with unbounded ...
Anna Maria Candela +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 This paper examines the oscillatory behavior of solutions to a class of third-order differential equations with bounded and unbounded neutral coefficients. Sufficient conditions for all solutions to be oscillatory are given.
Ercan Tunç +3 more
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