Existence of Weak Solutions to Nonlocal PDEs With a Generalized Definition of Caputo Derivative [PDF]
Mediterranean Journal of Mathematics, 2023 Some compactness criteria that are analogies of the Aubin–Lions lemma for the existence of weak solutions of nonlinear evolutionary PDEs play crucial roles for the existence of weak solutions to time-fractional PDEs. Based on this fact, in this paper, we consider the existence of weak solutions to a kind of partial differential equations with Caputo ...
Xu, Jiaohui, Caraballo Garrido, Tomás
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On existence of a unique generalized solution to systems of elliptic PDEs at resonance [PDF]
Annales Polonici Mathematici, 2014 Boying Wu +3 more
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Известия Иркутского государственного университета: Серия "Математика", 2019 This paper is an attempt to give the review of a part of our results in the area of singular partial differential equations. Using the results of the theory of complete generalized Jordan sets we consider the reduction of the PDE with the irreversible ...
N.A. Sidorov
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On a Level-Set Method for Ill-Posed Problems with Piecewise Nonconstant Coefficients
Journal of Applied Mathematics, 2013 We investigate a level-set-type method for solving ill-posed problems, with the assumption that the solutions are piecewise, but not necessarily constant functions with unknown level sets and unknown level values.
A. De Cezaro
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Can there be a general nonlinear PDE theory for the existence of solutions ?
, 2004 Contrary to widespread perception, there is ever since 1994 a unified, general type independent theory for the existence of solutions for very large classes of nonlinear systems of PDEs. This solution method is based on the Dedekind order completion of suitable spaces of piece-wise smooth functions on the Euclidean domains of definition of the ...
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Can there be a general nonlinear PDE theory for existence of solutions ?
, 2011 Contrary to widespread perception, there is ever since 1994 a unified, general type independent theory for the existence of solutions for very large classes of nonlinear systems of PDEs. This solution method is based on the Dedekind order completion of suitable spaces of piece-wise smooth functions on the Euclidean domains of definition of the ...
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Can There Be a General Nonlinear PDE Theory for Existence of Solutions? [PDF]
Reviews in Theoretical Science, 2015 openaire +1 more source
Steady-State and Dynamical Behavior of a PDE Model of Multilevel Selection with Pairwise Group-Level Competition. [PDF]
Bull Math BiolAlexiou K, Cooney DB.
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Sub pico-second pulses in mono-mode optical fibers with Triki-Biswas model. [PDF]
Sci RepHussain A +5 more
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Exploring the chaotic, sensitivity and wave patterns to the dual-mode resonant Schrödinger equation: application in optical engineering. [PDF]
Sci RepMuhammad J, Younas U, Yar M.
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