Locally Invariant Manifolds for Quasilinear Parabolic Equations
Rocky Mountain Journal of Mathematics, 1991 The paper is concerned with the geometric study of an evolution equation of the form \(x'-Lx=f(t,\lambda,x)\), where \(L:D(L)\to X\) is the generator of a holomorphic semigroup and the nonlinearity \(f\) acts essentially from some interpolation space \(D_ L(\theta+1)\) to \(D_ L(\theta)\).
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Global solutions for quasilinear parabolic systems
, 2004 We present an approach for proving the global existence of classical solutions of certain quasilinear parabolic systems with homogeneous Dirichlet boundary conditions in bounded domains with a smooth boundary. (C) 2003 Elsevier Inc.
Constantin, Adrian, +3 more
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Removable isolated singularities for solutions of quasilinear parabolic equations
, 2009 We have obtained the best possible conditions for removable singularity at the point for solutions of quasilinear parabolic equations of divergent ...
Nicolosi, F. +2 more
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On the Uniqueness of Schwarzschild-de Sitter Spacetime. [PDF]
Arch Ration Mech Anal, 2023 Borghini S, Chruściel PT, Mazzieri L.
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Existence of solutions for quasilinear parabolic equations with nonlocal boundary conditions
Electronic Journal of Differential Equations, 2011 We prove the existence of a generalized solution a quasilinear parabolic equation with nonlocal boundary conditions, using the Faedo-Galerkin approximation.
Baili Chen
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Comparative Characterization of Nonlinear Ultrasound Fields Generated by Sonalleve V1 and V2 MR-HIFU Systems. [PDF]
IEEE Trans Ultrason Ferroelectr Freq Control, 2023 Karzova MM +6 more
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Critical spaces for quasilinear parabolic evolution equations and applications
, 2018 We present a comprehensive theory of critical spaces for the broad class of quasilinear parabolic evolution equations. The approach is based on maximal L-p-regularity in time-weighted function spaces.
Jan Prüss +5 more
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Optimal Control of Quasilinear Parabolic Equations
, 2007 This paper deals with optimal control problems of systems governed by quasilinear parabolic equations in divergence form, whose prototype is (1.1). Our aim is to prove existence of solution and derive some optimality conditions in a rigorous way. Optimal
Luis A. Fernández +2 more
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Large Deviations for Quasilinear Parabolic Stochastic Partial Differential Equations
, 2019 In this paper, we establish the Freidlin-Wentzell’s large deviations for quasilinear parabolic stochastic partial differential equations with multiplicative noise, which are neither monotone nor locally monotone.
Dong, Zhao +2 more
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A nonlinear partial integro-differential equation from mathematical finance [PDF]
We study a nonlinear partial integrodifferential equation arising in the calibration of stochastic volatility models to a market of vanilla options.
Frédéric Abergel, Rémi Tachet
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