Minimum and comparison principles for semilinear nonlocal reaction–diffusion equations
Boundary Value ProblemsWe consider second-order linear parabolic partial differential inequalities that include nonlocal zeroth-order quantities. For these, we establish minimum principles that highlight the interplay between the regularity of their coefficients, the growth ...
Nikolaos M. Ladas, John C. Meyer
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Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion. [PDF]
J Math Biol, 2023 Walker C.
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Solving Fredholm Integral Equations Using Deep Learning. [PDF]
Int J Appl Comput Math, 2022 Guan Y, Fang T, Zhang D, Jin C.
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Tunable Heat-Flux Rectification in Graded Nanowires in Non-Linear Guyer-Krumhansl Regime. [PDF]
Nanomaterials (Basel), 2023 Carlomagno I, Cimmelli VA, Jou D.
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Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations. [PDF]
Proc Math Phys Eng Sci, 2020 Hutzenthaler M +4 more
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Bi-Lipschitz Mané projectors and finite-dimensional reduction for complex Ginzburg-Landau equation. [PDF]
Proc Math Phys Eng Sci, 2020 Kostianko A.
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Analysis of a diffusive epidemic system with spatial heterogeneity and lag effect of media impact. [PDF]
J Math Biol, 2022 Song P, Xiao Y.
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An iteration method for controllability of semilinear parabolic equations
Electronic Journal of Differential Equations, 2010 We present a method based on Picard's idea to construct a sequence of controls and a sequence of solutions of linearized systems such that their limits form a solution to the control problem.
Bo Sun
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Nonlinear viscoelasticity of strain rate type: an overview. [PDF]
Proc Math Phys Eng Sci, 2021 Şengül Y.
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Reaction-Diffusion Pathways for a Programmable Nanoscale Texture of the Diamond-SiC Composite. [PDF]
Langmuir, 2022 Shevchenko VY +4 more
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