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1994
Superspaces and supermanifolds are introduced by using the concept of weak differentiability as usually given for locally convex spaces. This allows us to consider in algebraic way superdual spaces and superderivative spaces. In this way we obtain a good generalization of just known superstructures general enough to develop a formal theory for super ...
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The Spatial Evolution of Mitochondria: PDE-PDE Systems

2018
This chapter consists of three sections. In Sect. 7.1 we systematically study this PDE-PDE case as for the well posedness, dependence of solutions from boundary conditions (in vitro and in vivo cases). In Sect. 7.2 we study asymptotic behavior of solutions as for the partial and complete swelling scenarios.
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Analysis and Approximation of Mixed-Dimensional PDEs on 3D-1D Domains Coupled with Lagrange Multipliers

SIAM Journal on Numerical Analysis, 2021
Paolo Zunino, Miroslav Kuchta, Kent-Andre Mardal +2 more
exaly

Lyapunov-based boundary feedback design for parabolic PDEs

International Journal of Control, 2021
Iasson Karafyllis
exaly

Nonlinear Pantograph-Type Diffusion PDEs: Exact Solutions and the Principle of Analogy

Mathematics, 2021
Andrei Polyanin, Vsevolod G Sorokin
exaly

Deep least-squares methods: An unsupervised learning-based numerical method for solving elliptic PDEs

Journal of Computational Physics, 2020
Zhiqiang Cai, Jingshuang Chen
exaly

Preserving energy resp. dissipation in numerical PDEs using the “Average Vector Field” method

Journal of Computational Physics, 2012
Elena Celledoni, Brynjulf Owren, Volker Grimm +2 more
exaly

Solving Hyperbolic PDEs in MATLAB

Applied Numerical Analysis and Computational Mathematics, 2005
L F Shampine
exaly