Results 31 to 40 of about 772,908 (331)

Removability conditions for anisotropic parabolic equations in a computational validation

Frontiers in Applied Mathematics and Statistics
The article investigates removability conditions for singularities of anisotropic parabolic equations and in particular for the anisotropic porous medium equation and it aims in the numerical validation of the analytical results. The preconditions on the
Dirk Langemann, Mariia Savchenko, Mariia Savchenko   +2 more
doaj   +1 more source

On the Differentiability of Weak Solutions of an Abstract Evolution Equation with a Scalar Type Spectral Operator

International Journal of Mathematics and Mathematical Sciences, 2011
For the evolution equation 𝑦(𝑡)=𝐴𝑦(𝑡) with a scalar type spectral operator 𝐴 in a Banach space, conditions on 𝐴 are found that are necessary and sufficient for all weak solutions of the equation on [0,∞) to be strongly infinite differentiable on [0 ...
Marat V. Markin
doaj   +1 more source

Symmetries of partial differential equations

, 2003
We establish a link between the study of completely integrable systems of partial differential equations and the study of generic submanifolds in C^n.
Gaussier, Hervé, Merker, Joël
core   +3 more sources

Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]

, 2005
Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE
core   +1 more source

Nutritional and Behavioral Intervention for Long‐Term Childhood Acute Leukemia Survivors With Metabolic Syndrome

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Purpose Metabolic syndrome (MetS) is a common complication in survivors of childhood acute lymphoblastic and myeloid leukemia (AL), and a major risk factor for premature cardiovascular disease, type‐2‐diabetes, and metabolic dysfunction‐associated steatotic liver disease (MASLD).
Visentin Sandrine, Béliard Sophie, Renard Cécile, Caussy Cyrielle, Hamidou Zeinab, Romano David, Gacem Mélanie, Petit Arnaud, Saultier Paul, Borentain Patrick, Michel Gérard   +10 more
wiley   +1 more source

Traveling fronts of pyramidal shapes in competition-diffusion systems

Networks and Heterogeneous Media, 2013
It is well known that a competition-diffusion system hasa one-dimensional traveling front.This paper studies traveling front solutions of pyramidal shapesin a competition-diffusion system in $\mathbb{R}^N$ with $N\geq 2$.By using a multi-scale method,we ...
Wei-Ming Ni, Masaharu Taniguchi
doaj   +1 more source

Parameter Estimation for Several Types of Linear Partial Differential Equations Based on Gaussian Processes

Fractal and Fractional, 2022
This paper mainly considers the parameter estimation problem for several types of differential equations controlled by linear operators, which may be partial differential, integro-differential and fractional order operators. Under the idea of data-driven
Wenbo Zhang, Wei Gu
doaj   +1 more source

Differential constraints compatible with linearized equations

, 1998
Differential constraints compatible with the linearized equations of partial differential equations are examined.
Bluman G.W., Fokas A.S., Fordy A.P., Ibragimov N.Kh., Mikhailov A.V., Olver P.J., Olver P.J., Olver P.J., Olver P.J., Rabelo M.L., Satır A., Sneddon I., Svinolupov S.I.   +12 more
core   +1 more source

Survival for Children Diagnosed With Wilms Tumour (2012–2022) Registered in the UK and Ireland Improving Population Outcomes for Renal Tumours of Childhood (IMPORT) Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background The Improving Population Outcomes for Renal Tumours of childhood (IMPORT) is a prospective clinical observational study capturing detailed demographic and outcome data on children and young people diagnosed with renal tumours in the United Kingdom and the Republic of Ireland.
Naomi Ssenyonga, Angela Lopez‐Cortes, Reem Al‐Saadi, Suzanne Tugnait, Kristina Dzhuma, Catriona Duncan, Gordan Vujanic, Tanzina Chowdhury, Claudia Allemani, Michel P. Coleman, Kathy Pritchard‐Jones, the Children's Cancer and Leukaemia Group (CCLG) Renal Tumour Special Interest Group, Hugh Bishop, Anthony McCarthy, Pamela Kearns, Helen Rees, Amos Burke, Meriel Jenney, Jane Pears, Hamish Wallace, Milind Ronghe, Tanzina Chowdhury, Susan Picton, Emma Ross, Lisa Howell, Bernadette Brennan, Gail Halliday, Richard Grundy, Shaun Wilson, Sucheta Vaidya, Daniel Yeomanson, Jessica Bate, Vesna Pavasovic, Jessica Bate, Sabine Irtan, Jesper Brok, Minou Oostveen, Kristina Dzhuma, Mark Weeks, Richard Williams, Mark Powis, Max Pachl, Bruce Okoye, Naima Smeulders, Gordan Vujanic, Oystein Olsen, Tom Watson, Susan Shelmerdine, Dan Saunders, Angela Lopez-Cortes, Taryn Treger, Tom Jackson, Suzanne Tugnait, Lisa Howell, Tanzina Chowdhury, Sam Behjati, Angela Polanco   +56 more
wiley   +1 more source

Exact and Approximate Solutions for Linear and Nonlinear Partial Differential Equations via Laplace Residual Power Series Method

Axioms, 2023
The Laplace residual power series method was introduced as an effective technique for finding exact and approximate series solutions to various kinds of differential equations.
Haneen Khresat, Ahmad El-Ajou, Shrideh Al-Omari, Sharifah E. Alhazmi, Moa’ath N. Oqielat   +4 more
doaj   +1 more source