Mild solutions to semilinear rough partial differential equations [PDF]
arXivWe provide an existence and uniqueness result for mild solutions to rough partial differential equations in the framework of the semigroup approach. Applications to stochastic partial differential equations driven by infinite dimensional Wiener processes and infinite dimensional fractional Brownian motion are presented as well.
arxiv
Soliton solution of the generalized fifth order Hirota-Satsuma equation coupled with KdV [PDF]
arXiv, 2016 We introduced a fifth-order partial differential equation as a generalization of Hirota-Satsuma coupled with KdV system. This equation is investigated based on tanh method. By applying the suitable independent variable in Hirota-Satsuma equation, we can convert this partial differential equations(PDE) into ordinary differential equations(ODE) .Solving ...
arxiv
Energy Integrals for the Mixed Problem in Hyperbolic Partial Differential Equations of Higher Order [PDF]
, 1957 Gideon Peyser
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Systematic profiling of cancer‐fibroblast interactions reveals drug combinations in ovarian cancer
Molecular Oncology, EarlyView.Fibroblasts, cells in the tumor environment, support ovarian cancer cell growth and alter morphology and drug response. We used fibroblast and cancer cell co‐culture models to test 528 drugs and discovered new drugs for combination treatment. We showed that adding Vorinostat or Birinapant to standard chemotherapy may improve drug response, suggesting ...
Greta Gudoityte +10 more
wiley +1 more source
Generalization of Sato equation and systems of multidimensional nonlinear Partial Differential Equations [PDF]
arXiv, 2002 This paper develops one of the methods for study of nonlinear Partial Differential equations. We generalize Sato equation and represent the algorithm for construction of some classes of nonlinear Partial Differential Equations (PDE) together with solutions parameterized by the set of arbitrary functions.
arxiv
Molecular Oncology, EarlyView.In patients treated with atezolizumab as a part of the MyPathway (NCT02091141) trial, pre‐treatment ctDNA tumor fraction at high levels was associated with poor outcomes (radiographic response, progression‐free survival, and overall survival) but better sensitivity for blood tumor mutational burden (bTMB).
Charles Swanton +17 more
wiley +1 more source
A Fresh Look To Exact Solutions of Some Coupled Equations
ITM Web of Conferences, 2018 This manuscript is going to seek travelling wave solutions of some coupled partial differential equations with an expansion method known as Sine- Gordon expansion method.
Karaagac Berat +3 more
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Projective Geometry and PDE Prolongation [PDF]
arXivIn this dissertation we study basic local differential geometry, projective differential geometry, and prolongations of overdetermined geometric partial differential equations. It is simple to prolong an n-th order linear ordinary differential equation into n first order equations. For partial differential equations there is a related process but it is
arxiv
Semilinear stochastic partial differential equations: central limit theorem and moderate deviations [PDF]
arXiv, 2019 In this paper, we establish a central limit theorem (CLT) and the moderate deviation principles (MDP) for a class of semilinear stochastic partial differential equations driven by multiplicative noise on a bounded domain. The main results can be applied to stochastic partial differential equations of various types such as the stochastic Burgers ...
arxiv
A remark on my paper “A Boundary value problem of partial differential equations of parabolic type” in Duke Mathematical Journal [PDF]
, 1958 Seizô Itô
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