Results 61 to 70 of about 4,008,929 (272)
Initial value problems for diffusion equations with singular potential [PDF]
, 2012 Let $V$ be a nonnegative locally bounded function defined in $Q_\infty:=\BBR^n\times(0,\infty)$. We study under what conditions on $V$ and on a Radon measure $\gm$ in $\mathbb{R}^d$ does it exist a function which satisfies $\partial_t u-\xD u+ Vu=0$ in ...
Gkikas, Konstantinos, Veron, Laurent
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Initial value problems for wave equations on manifolds
, 2014 We study the global theory of linear wave equations for sections of vector bundles over globally hyperbolic Lorentz manifolds. We introduce spaces of finite energy sections and show well-posedness of the Cauchy problem in those spaces.
Baer, Christian, Wafo, Roger Tagne
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Chimeric antigen receptor (CAR) T‐cell therapy has been investigated in neurological diseases, encompassing both central nervous system malignancies and autoimmune disorders, thereby extending its application beyond hematological cancers.
Omar Alqaisi +5 more
wiley +1 more source
Initial Boundary Value Problems of Semi-Linear Sub-Diffusion with Gradient Terms
Mathematics, 2020 We consider the existence and uniqueness of the saturated classical solutions and the positive classical solutions to initial boundary value problems of semi-linear sub-diffusion with gradient terms. Applying this to the fractional power of the sectorial
Yabing Gao, Yongxiang Li
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Arthritis Care &Research, EarlyView.Objective There is growing interest in evaluating new strategies to delay or prevent posttraumatic osteoarthritis (PTOA) in individuals who have sustained anterior cruciate ligament (ACL) injury. This study sought to determine characteristics of potential treatments that are acceptable to patients with ACL injury. Methods Participants with a history of
Kevin Kennedy +9 more
wiley +1 more source
Initial-boundary value problems for the wave equation
Electronic Journal of Differential Equations, 2014 In this work we consider an initial-boundary value problem for the one-dimensional wave equation. We prove the uniqueness of the solution and show that the solution coincides with the wave potential.
Tynysbek Sh. Kalmenov +1 more
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Arthritis Care &Research, EarlyView.Objective A patient‐centered approach for chronic disease management, including systemic lupus erythematosus (SLE), aligns treatment with patients’ values and preferences, leading to improved outcomes. This paper summarizes how patient experiences, perspectives, and priorities informed the American College of Rheumatology (ACR) 2024 Lupus Nephritis (LN)
Shivani Garg +20 more
wiley +1 more source
Nonlinear initial-value problems with positive global solutions
Electronic Journal of Differential Equations, 2003 We give conditions on $m(t)$, $p(t)$, and $f(t,y,z)$ so that the nonlinear initial-value problem {gather*} frac{1}{m(t)} (p(t)y')' + f(t,y,p(t)y') = 0,quadmbox{for }t>0, y(0)=0,quad lim_{t o 0^+} p(t)y'(t) = B, end{gather*} has at least one positive ...
John V. Baxley, Cynthia G. Enloe
doaj
Initial boundary value problems for some damped nonlinear conservation laws
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, we study the non-negative solutions of initial boundary value problems for some damped nonlinear conservation laws on the half line modelled by first order nonlinear hyperbolic PDEs.
Manoj Yadav
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, 2018 It is known that, for systems of initial-value problems, algorithms using adaptive information perform much better in the worst case setting than the algorithms using nonadaptive information.
Kacewicz, Boleslaw
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