Results 11 to 20 of about 81 (49)
Approximation of Bayesian inverse problems for PDEs [PDF]
, 2009 Inverse problems are often ill posed, with solutions that depend sensitively on data. In any numerical approach to the solution of such problems, regularization of some form is needed to counteract the resulting instability.
A. M. Stuart +3 more
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Impulsive nonlocal nonlinear parabolic differential problems
International Journal of Stochastic Analysis, Volume 6, Issue 3, Page 247-260, 1993., 1993 The aim of the paper is to prove a theorem about a weak impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities. A weak maximum principle for an impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities and an uniqueness criterion for the
Ludwik Byszewski
wiley +1 more source
On the Cauchy problem for semilinear elliptic equations [PDF]
, 2016 We study the Cauchy problem for non-linear (semilinear) elliptic partial differential equations in Hilbert spaces. The problem is severely ill-posed in the sense of Hadamard.
Binh, TT, Lesnic, D, Taun, NH, Viet, TQ
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Existence of a solution of a Fourier nonlocal quasilinear parabolic problem
International Journal of Stochastic Analysis, Volume 5, Issue 1, Page 43-67, 1992., 1991 The aim of this paper is to give a theorem about the existence of a classical solution of a Fourier third nonlocal quasilinear parabolic problem. To prove this theorem, Schauder′s theorem is used. The paper is a continuation of papers [1]‐[8] and the generalizations of some results from [9]‐[11].
Ludwik Byszewski
wiley +1 more source
Diffusion in a continuum model of self-propelled particles with alignment interaction [PDF]
, 2010 In this paper, we provide the $O(\epsilon)$ corrections to the hydrodynamic model derived by Degond and Motsch from a kinetic version of the model by Vicsek & coauthors describing flocking biological agents.
Cercignani C. +5 more
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International Journal of Stochastic Analysis, Volume 3, Issue 1, Page 65-79, 1990., 1990 In [4] and [5], the author studied strong maximum principles for nonlinear parabolic problems with initial and nonlocal inequalities, respectively. Our purpose here is to extend results in [4] and [5] to strong maximum principles for nonlinear parabolic problems with nonlocal inequalities together with integrals.
Ludwik Byszewski
wiley +1 more source
A mixed nonlinear time-fractional Rayleigh-Stokes equation [PDF]
, 2022 . This paper investigates a nonlinear time-fractional Rayleigh-Stokes equation with mixed nonlinearities containing a power-type function, a logarithmic function and an inverse time-forcing term.
Au, Vo Van, Caraballo Garrido, Tomás
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A new general filter regularization method for Cauchy problems for elliptic equations with a locally Lipschitz nonlinear source. [PDF]
, 2016 Up to now, studies on the semi-linear Cauchy problem for elliptic partial differential equations needed to assume that the source term present in the governing equation is a global Lipschitz function.
Alessandrini +39 more
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An infinite-dimensional approach to path-dependent Kolmogorov equations [PDF]
, 2016 In this paper, a Banach space framework is introduced in order to deal with finite-dimensional path-dependent stochastic differential equations. A version of Kolmogorov backward equation is formulated and solved both in the space of $L^p$ paths and in ...
Flandoli, Franco, Zanco, Giovanni
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The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels [PDF]
, 2009 Abels H, Kaßmann M. The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels. Osaka journal of mathematics.
Abels, Helmut, Kassmann, Moritz
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