Results 251 to 260 of about 1,121,600 (292)
Some of the next articles are maybe not open access.
Hyperbolic Equations with Growing Coefficients in Unbounded Domains
Journal of Mathematical Sciences, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Filinovskii A.V., Shomberg Joseph L.
openaire +2 more sources
Annali di Matematica Pura ed Applicata, 2000
The authors prove the existence of a unique solution of the following Dirichlet problem for elliptic equations in divergence form \[ a_0(u,v) = \langle T,v\rangle \text{ for all } v \in H^1_0(\Omega), \] where \(\Omega\) is an open set in \(R^n\) and \[ a_0(u,v)=\int_\Omega(\sum^n_{i,j=1} a_{ij}u_{x_i}v_{x_j}+\sum^n_{i=1}b_iu_{x_i}v+cuv) dx.
M. CHICCO, VENTURINO, MARINA
openaire +3 more sources
The authors prove the existence of a unique solution of the following Dirichlet problem for elliptic equations in divergence form \[ a_0(u,v) = \langle T,v\rangle \text{ for all } v \in H^1_0(\Omega), \] where \(\Omega\) is an open set in \(R^n\) and \[ a_0(u,v)=\int_\Omega(\sum^n_{i,j=1} a_{ij}u_{x_i}v_{x_j}+\sum^n_{i=1}b_iu_{x_i}v+cuv) dx.
M. CHICCO, VENTURINO, MARINA
openaire +3 more sources
Forum Mathematicum, 2007
In this paper, the authors deal with the following Cauchy-Neumann problem \[ \begin{cases} D_tu-\mathcal{A}u( t,x) =0, &t>0,x\in \Omega , \\ \frac{\partial u}{\partial \nu }( t,x) =0, &t>0,\;x\in \partial \Omega , \\ u( 0,x) =f( x) , &x\in \overline{\Omega }\end{cases}\tag{1} \] where \(\Omega \) is sufficiently smooth bounded domain open subset of ...
M. BERTOLDI +2 more
openaire +3 more sources
In this paper, the authors deal with the following Cauchy-Neumann problem \[ \begin{cases} D_tu-\mathcal{A}u( t,x) =0, &t>0,x\in \Omega , \\ \frac{\partial u}{\partial \nu }( t,x) =0, &t>0,\;x\in \partial \Omega , \\ u( 0,x) =f( x) , &x\in \overline{\Omega }\end{cases}\tag{1} \] where \(\Omega \) is sufficiently smooth bounded domain open subset of ...
M. BERTOLDI +2 more
openaire +3 more sources
Uniqueness for elliptic operators on with unbounded coefficients
Forum Mathematicum, 2010Let A denote a general second order differential operator in divergence form, with real coefficients satisfying only local boundedness conditions. Then, A can be viewed as an unbounded operator Ap on Lp(RN ) with maximal domain D(Ap). The main result of this paper is a criterion for the injectivity of Ap when p ∈ (1,∞).
METAFUNE, Giorgio Gustavo Ermanno +3 more
openaire +3 more sources
Continuity of the Filter with Unbounded Observation Coefficients
Stochastic Analysis and Applications, 2011In this article, we study the continuity with respect to the trajectories of the observation process for the filter associated with nonlinear filtering problems when the coefficients depend on both the signal and the observation and the observation coefficient is unbounded.
Patrick Florchinger, NAPPO, Giovanna
openaire +2 more sources
Generation of Analytic Semigroups by Elliptic Operators with Unbounded Coefficients
SIAM Journal on Mathematical Analysis, 1987This paper concerns the connections between (parabolic) partial differential equations and the abstract theory of evolution equations. The authors consider second order elliptic operators \[ E=\sum a_{ij}(x)D_{ij}+\sum b_ i(x)D_ i-c(x),\quad x\in {\mathbb{R}}^ N \] allowing the lower order coefficients \(b_ i(x)\) and c(x) to be unbounded at infinity ...
P. CANNARSA, VESPRI, VINCENZO
openaire +3 more sources
On quantum stochastic differential equations with unbounded coefficients
Probability Theory and Related Fields, 1990We prove an existence, uniqueness and unitarity theorem for quantum stochastic differential equations with unbounded coefficients which satisfy an analyticity condition on a common dense invariant domain. This result, applied to the quantum harmonic oscillator, gives a rigorous meaning to a large class of stochastic differential equations that have ...
openaire +3 more sources
On the Branch Points of Mappings with the Unbounded Coefficient of Quasiconformality
Siberian Mathematical Journal, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
On Singular Integral Equations with Unbounded Coefficients
2010Algebras generated by singular integral operators with piecewise continuous coefficients are studied in the papers [1, 2, 3, 4]. The results obtained there allow us to obtain theorems on solvability and index formulas for singular integral operators of new types.
Israel Gohberg, Nahum Krupnik
openaire +1 more source
Lyapunov exponents for systems with unbounded coefficients
Dynamical Systems, 2013In this article we propose a generalization of the concept of Lyapunov exponents for discrete linear systems which may be used in the case of unbounded coefficients. We show some simplest properties of this generalization and apply it to define a generalization of regular system.
Adam Czornik, Michał Niezabitowski
openaire +1 more source