Results 151 to 160 of about 8,296,108 (395)
Blow-up phenomena and global existence for the periodic two-component Dullin-Gottwald-Holm system [PDF]
arXiv, 2012 This paper is concerned with blow-up phenomena and global existence for the periodic two-component Dullin-Gottwald-Holm system. We first obtain several blow-up results and the blow-up rate of strong solutions to the system. We then present a global existence result for strong solutions to the system.
arxiv
A global existence theorem for a nonlinear system and the defect index of a linear operator [PDF]
, 1966 A. Povzner
openalex +1 more source
Molecular and functional profiling unravels targetable vulnerabilities in colorectal cancer
Molecular Oncology, EarlyView.We used whole exome and RNA‐sequencing to profile divergent genomic and transcriptomic landscapes of microsatellite stable (MSS) and microsatellite instable (MSI) colorectal cancer. Alterations were classified using a computational score for integrative cancer variant annotation and prioritization.
Efstathios‐Iason Vlachavas +15 more
wiley +1 more source
Journal of Inequalities and Applications, 2016 In this paper, we consider the global existence and boundedness of solutions for a certain nonlinear integro-differential equation of second order with multiple constant delays.
Cemil Tunç, Timur Ayhan
doaj +1 more source
Existence of Global Classical and Weak Solutions to a Prion Equation with Polymer Joining [PDF]
arXiv, 2017 We consider a nonlinear integro-differential equation for prion proliferation that includes prion polymerization, polymer splitting, and polymer joining. The equation can be written as a quasilinear Cauchy problem. For bounded reaction rates we prove global existence and uniqueness of classical solutions by means of evolution operator theory.
arxiv
Molecular Oncology, EarlyView.Cancer stem cells are associated with aggressive disease, but a deep characterization of such markers is lacking in endometrial cancer. This study uses imaging mass cytometry to explore putative cancer stem cell markers in endometrial tumors and corresponding organoid models.
Hilde E. Lien +7 more
wiley +1 more source
Boundary Value Problems, 2017 This paper deals with a semilinear parabolic equation with variable source under the case that the initial energy is less than the potential well depth. We deduce a sharp threshold for blow-up and global existence of solutions.
Jinge Yang, Haixiong Yu
doaj +1 more source
Global regularity for the Dirichlet problem of Monge-Ampère equation in convex polytopes [PDF]
arXivWe study the Dirichlet problem for Monge-Amp\`ere equation in bounded convex polytopes. We give sharp conditions for the existence of global $C^2$ and $C^{2,\alpha}$ convex solutions provided that a global $C^2$, convex subsolution exists.
arxiv
Global existence of weak solutions for quantum MHD equations [PDF]
arXiv, 2018 In this paper, we consider the quantum MHD equations with both the viscosity coefficient and the magnetic diffusion coefficient are depend on the density. we prove the global existence of weak solutions and perform the lower planck limit in a 3-dimensional torus for large initial data.
arxiv
Peripheral blood proteome biomarkers distinguish immunosuppressive features of cancer progression
Molecular Oncology, EarlyView.Immune status significantly influences cancer progression. This study used plasma proteomics to analyze benign 67NR and malignant 4T1 breast tumor models at early and late tumor stages. Immune‐related proteins–osteopontin (Spp1), lactotransferrin (Ltf), calreticulin (Calr) and peroxiredoxin 2 (Prdx2)–were associated with systemic myeloid‐derived ...
Yeon Ji Park +6 more
wiley +1 more source