Nonlinear integral inequality in two independent variables
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 1, Page 115-119, 1988., 1986 In this note, the authors obtain a generalization of the integral inequality of Bihari [1] to a nonlinear inequality in two independent variables. With the aid of this inequality a bound for the solution of a nonlinear partial differential equation is established.
P. T. Vaz, S. G. Deo
wiley +1 more source
Bifurcation analysis of a predator-prey system with self- and cross-diffusion and constant harvesting rate [PDF]
, 2014 In this paper, we focus on a ratio dependent predator-prey system with self- and cross-diffusion and constant harvesting rate. By making use of a brief stability and bifurcation analysis, we derive the symbolic conditions for Hopf, Turing and wave ...
Baek, H.
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A Liouville comparison principle for solutions of quasilinear singular parabolic inequalities
Advances in Nonlinear Analysis, 2015 We obtain a Liouville comparison principle for entire weak solutions (u,v) of quasilinear singular parabolic second-order partial differential inequalities of the form ut-A(u)-|u|q-1u≥vt-A(v)-|v|q-1v${ u_t - A(u)-|u|^{q-1}u \ge v_t - A (v)-|v|^{q-1}v ...
Kurta Vasilii V.
doaj +1 more source
Uniqueness and comparison principles for semilinear equations and inequalities in Carnot groups
Advances in Nonlinear Analysis, 2018 Variants of the Kato inequality are proved for distributional solutions of semilinear equations and inequalities on Carnot groups. Various applications to uniqueness, comparison of solutions and Liouville theorems are presented.
D’Ambrosio Lorenzo, Mitidieri Enzo
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Penerapan Metode User Centered Design dalam Perancangan Ulang Desain Website MAN 1 Pasuruan [PDF]
, 2022 Dalam membangun citra positif sebagai lembaga pendidikan berbasis islam yang optimis dan mampu bersaing dengan sekolah umum secara kompetitif, MAN 1 Pasuruan mengembangkan sebuah website yang berfungsi sebagai wadah informasi dan media peningkatan citra ...
Cahyani, Rizka Dwi +1 more
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Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups [PDF]
, 2018 In this paper we study the global well-posedness of the following Cauchy problem on a sub-Riemannian manifold $M$: \begin{equation*} \begin{cases} u_{t}-\mathfrak{L}_{M} u=f(u), \;x\in M, \;t>0, \\u(0,x)=u_{0}(x), \;x\in M, \end{cases} \end{equation ...
Ruzhansky, M, Yessirkegenov, N
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C^{1,1} regularity for degenerate elliptic obstacle problems
, 2016 The Heston stochastic volatility process is a degenerate diffusion process where the degeneracy in the diffusion coefficient is proportional to the square root of the distance to the boundary of the half-plane. The generator of this process with killing,
Daskalopoulos, Panagiota +1 more
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Smooth counterexamples to strong unique continuation for a Beltrami system in $\mathbb{C}^2$ [PDF]
, 2011 We construct an example of a smooth map $\mathbb{C}\to\mathbb{C}^2$ which vanishes to infinite order at the origin, and such that the ratio of the norm of the $\bar z$ derivative to the norm of the $z$ derivative also vanishes to infinite order.
Coffman, Adam, Pan, Yifei
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On a sharp Poincare-type inequality on the 2-sphere and its application in micromagnetics [PDF]
, 2019 The main aim of this note is to prove a sharp Poincar\'e-type inequality for vector-valued functions on $\mathbb{S}^2$, that naturally emerges in the context of micromagnetics of spherical thin films.Comment: 2 ...
Di Fratta, Giovanni +2 more
core +4 more sources
, 2013 We prove existence and uniqueness of stochastic representations for solutions to elliptic and parabolic boundary value and obstacle problems associated with a degenerate Markov diffusion process.
Feehan, Paul M. N., Pop, Camelia
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