Results 61 to 70 of about 341,593 (214)
Uniqueness for weak solutions of parabolic equations with a fractional time derivative
, 2018 We prove uniqueness for weak solutions to abstract parabolic equations with the fractional Marchaud or Caputo time derivative. We consider weak solutions in time for divergence form equations when the fractional derivative is transferred to the test ...
Allen, Mark
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Advances in Difference Equations, 2021 In this work, we study an initial value problem for a system of nonlinear parabolic pseudo equations with Caputo fractional derivative. Here, we discuss the continuity which is related to a fractional order derivative.
Erdal Karapinar +3 more
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Direct and inverse source problems for degenerate parabolic equations
Journal of Inverse and Ill-Posed Problems, 2020 Degenerate parabolic partial differential equations (PDEs) with vanishing or unbounded leading coefficient make the PDE non-uniformly parabolic, and new theories need to be developed in the context of practical applications of such rather unstudied ...
M.S Hussein +3 more
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A numerical method for an inverse source problem for parabolic equations and its application to a coefficient inverse problem [PDF]
Journal of Inverse and Ill-Posed Problems, 2019 Two main aims of this paper are to develop a numerical method to solve an inverse source problem for parabolic equations and apply it to solve a nonlinear coefficient inverse problem. The inverse source problem in this paper is the problem to reconstruct
Phuong M. Nguyen, L. Nguyen
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Regularization of backward time-fractional parabolic equations by Sobolev-type equations
Journal of Inverse and Ill-Posed Problems, 2020 The problem of determining the initial condition from noisy final observations in time-fractional parabolic equations is considered. This problem is well known to be ill-posed, and it is regularized by backward Sobolev-type equations.
D. Hào +3 more
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Additive domain decomposition operator splittings -- convergence analyses in a dissipative framework
, 2016 We analyze temporal approximation schemes based on overlapping domain decompositions. As such schemes enable computations on parallel and distributed hardware, they are commonly used when integrating large-scale parabolic systems.
Hansen, Eskil, Henningsson, Erik
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Electronic Journal of Qualitative Theory of Differential Equations, 2008 The paper studies the notion of Stepanov almost periodicity (or $S^2$-almost periodicity) for stochastic processes, which is weaker than the notion of quadratic-mean almost periodicity.
P. Bezandry, Toka Diagana
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Advances in Difference Equations, 2021 We prove the global existence of small data solution in all spaces of all dimensions n ≥ 1 $n\geq 1$ for weakly coupled systems of semilinear effectively damped wave, with different time-dependent coefficients in the dissipation terms.
Abdelhamid Mohammed Djaouti
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Boundary Value Problems, 2021 In this paper, we study the parabolic Monge–Ampère equations − u t det ( D 2 u ) = g $-u_{t}\det (D^{2}u)=g$ outside a bowl-shaped domain with g being the perturbation of g 0 ( | x | ) $g_{0}(|x|)$ at infinity.
Limei Dai, Huihui Cheng
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On a Class of Degenerate Abstract Parabolic Problems and Applications to Some Eddy Current Models
, 2020 We present an abstract framework for parabolic type equations which possibly degenerate on certain spatial regions. The degeneracies are such that the equations under investigation may admit a type change ranging from parabolic to elliptic type problems.
Pauly, Dirk +3 more
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