Results 41 to 50 of about 15,411,558 (330)
Interior and boundary higher integrability of very weak solutions for quasilinear parabolic equations with variable exponents [PDF]
Nonlinear Analysis, 2018 We prove boundary higher integrability for the (spatial) gradient of \emph{very weak} solutions of quasilinear parabolic equations of the form $$ \left\{ \begin{array}{ll} u_t - div \mathcal{A}(x,t,\nabla u) = 0 &\quad \text{on} \ \Omega \times (-T,T), \
K. Adimurthi, Sun-Sig Byun, Jehan Oh
semanticscholar +1 more source
Global weak solutions to a nonlinear equation with fourth order nonlinearities
Boundary Value Problems, 2023 Global weak solution for a nonlinear model with forth order nonlinearities and conserved quantities is considered. Assuming its initial value satisfies certain assumptions that are weaker than the sign condition, we derive a higher integrability estimate
Jiangang Tang, Miao Liu, Shaoyong Lai
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Conditions and evidence for non-integrability in the Friedmann-Robertson-Walker Hamiltonian [PDF]
, 2014 This is an example of application of Ziglin-Morales-Ramis algebraic studies in Hamiltonian integrability, more specifically the result by Morales, Ramis and Sim\'o on higher-order variational equations, to the well-known Friedmann-Robertson-Walker ...
Simon, Sergi
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The Lanczos potential for Weyl-candidate tensors exists only in four dimensions [PDF]
, 2000 We prove that a Lanczos potential L_abc for the Weyl candidate tensor W_abcd does not generally exist for dimensions higher than four. The technique is simply to assume the existence of such a potential in dimension n, and then check the integrability ...
A. Höglund +9 more
core +3 more sources
Nonlinear Analysis, 2017 We study local quasiminimizers of the Dirichlet energy under generalized growth conditions. Special cases include standard, variable exponent and double phase growths. We show that the gradient of a local quasiminimizer has local higher integrability.
Petteri Harjulehto +2 more
semanticscholar +1 more source
A Note on Regularity for the n-dimensional H-System assuming logarithmic higher Integrability [PDF]
, 2010 We prove Holder continuity for solutions to the n-dimensional H-System assuming logarithmic higher integrability of the ...
Schikorra, Armin
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Iterated Integrals and Higher Order Invariants [PDF]
Canadian Journal of Mathematics, 2013 AbstractWe show that higher order invariants of smooth functions can be written as linear combinations of full invariants times iterated integrals. The non-uniqueness of such a presentation is captured in the kernel of the ensuing map from the tensor product. This kernel is computed explicitly.
Deitmar, Anton, Horozov, Ivan
openaire +2 more sources
Advances in Mathematical Physics, 2014 We derive the solitonic solution of the nonlinear Schrödinger equation with cubic nonlinearity, complex potentials, and time-dependent coefficients using the Darboux transformation.
H. Chachou Samet +3 more
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Higher Integrability of Weak Solutions to a Class of Double Obstacle Systems
Journal of Mathematics, 2013 We first introduce double obstacle systems associated with the second-order quasilinear elliptic differential equation div(A(x,∇u))=div f(x,u), where A(x,∇u), f(x,u) are two n×N matrices satisfying certain conditions presented in the context, then ...
Zhenhua Hu, Shuqing Zhou
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Nearly circular domains which are integrable close to the boundary are ellipses
, 2018 The Birkhoff conjecture says that the boundary of a strictly convex integrable billiard table is necessarily an ellipse. In this article, we consider a stronger notion of integrability, namely integrability close to the boundary, and prove a local ...
Huang, Guan +2 more
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