On well-posedness of the Cauchy problem for $p$-parabolic systems [PDF]
, 1987 Ahmed El-Fiky
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Rough PDEs for Local Stochastic Volatility Models
Mathematical Finance, Volume 35, Issue 3, Page 661-681, July 2025.ABSTRACT In this work, we introduce a novel pricing methodology in general, possibly non‐Markovian local stochastic volatility (LSV) models. We observe that by conditioning the LSV dynamics on the Brownian motion that drives the volatility, one obtains a time‐inhomogeneous Markov process. Using tools from rough path theory, we describe how to precisely
Peter Bank +3 more
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Well-Posedness of One-Way Wave Equations and Absorbing Boundary Conditions [PDF]
, 1986 Lloyd N. Trefethen, Laurence Halpern
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Well-posedness and dynamics of fractional FitzHugh-Nagumo systems on ℝN driven by nonlinear noise
Science China Mathematics, 2020 Renhai Wang, B. Guo, Bixiang Wang
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Analysis of a Radiotherapy Model for Brain Tumors
Studies in Applied Mathematics, Volume 155, Issue 1, July 2025.ABSTRACT In this work, we focus on the analytical and numerical study of a mathematical model for brain tumors undergoing radiotherapy treatment. Under certain assumptions regarding the given data in the model, we prove the existence and uniqueness of a weak nonnegative (biologically relevant) solution.
Marina Chugunova +3 more
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Well-posedness characterizations for system of mixed hemivariational inequalities
Miskolc Mathematical NotesIn this paper, we concern with the concept of well-posedness and well-posedness in generalized sense for a system of mixed hemivariational inequality (SMHVI) with perturbations.
Kartikeswar Mahalik, Chandal Nahak
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Local Well-Posedness to the Cauchy Problem for an Equation of the Nagumo Type. [PDF]
ScientificWorldJournal, 2022 Lizarazo V, De la Cruz R, Lizarazo J.
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On the well-posedness of the Hammer X-ray problem [PDF]
, 1986 Gottfried Magerl, Aljoša Volčič
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On Ocean Currents with Constant Vorticity: Explicit Solutions and an Application to the ACC
Studies in Applied Mathematics, Volume 155, Issue 1, July 2025.ABSTRACT We study the three‐dimensional, divergence‐free, incompressible Euler equations in the f$f$‐plane approximation for off‐equatorial oceanic flows of constant vorticity, where the fluid domain is bounded by a free surface and a flat bed. The major difference, compared to related earlier works, is that we refrain from any global restrictions on ...
Anna Geyer, Ronald Quirchmayr
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Cross-points in the Dirichlet-Neumann method I: well-posedness and convergence issues. [PDF]
Numer Algorithms, 2023 Chaudet-Dumas B, Gander MJ.
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