Results 21 to 30 of about 14,488 (245)
Blow-Up of the Solution for a Semilinear Parabolic Problem with a Mixed Source
Mathematics, 2022 A semilinear parabolic equation with the Dirichlet boundary condition is examined. The reaction source is a mixed nonlinear function. This paper investigates the existence and uniqueness of a solution.
Wai Yuen Chan
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Null controllability of a semilinear degenerate parabolic equation with a gradient term
Boundary Value Problems, 2020 This paper concerns the null controllability of a semilinear control system governed by degenerate parabolic equation with a gradient term, where the nonlinearity of the problem is involved with the first derivative. We first establish the well-posedness
Fengdan Xu, Qian Zhou, Yuanyuan Nie
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Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion
Demonstratio Mathematica, 2020 In this paper, we study the Hyers-Ulam stability of a nonautonomous semilinear reaction-diffusion equation. More precisely, we consider a nonautonomous parabolic equation with a diffusion given by the fractional Laplacian. We see that such a stability is
Villa-Morales José
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An approximation scheme for semilinear parabolic PDEs with convex and coercive Hamiltonians [PDF]
, 2019 We propose an approximation scheme for a class of semilinear parabolic equations that are convex and coercive in their gradients. Such equations arise often in pricing and portfolio management in incomplete markets and, more broadly, are directly ...
Huang, Shuo +2 more
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Blow-up time of solutions to a class of pseudo-parabolic equations
Comptes Rendus. Mécanique, 2023 In this paper, we study the Dirichlet problem for a semilinear pseudo-parabolic equation. By using the energy estimates and ordinary differential inequalities, we studied the upper and lower bounds of blow-up time of the solutions.
Zhou, Jun, Wang, Xiongrui
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Existence results for a fourth order partial differential equation arising in condensed matter physics [PDF]
, 2015 We study a higher order parabolic partial differential equation that arises in the context of condensed matter physics. It is a fourth order semilinear equation whose nonlinearity is the determinant of the Hessian matrix of the solution. We consider this
Escudero, Carlos +4 more
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A triviality result for semilinear parabolic equations
Mathematics in Engineering, 2022 We show a triviality result for "pointwise" monotone in time, bounded "eternal" solutions of the semilinear heat equation \begin{equation*} u_{t}= u + |u|^{p} \end{equation*} on complete Riemannian manifolds of dimension $n \geq 5$ with nonnegative Ricci tensor, when $p$ is smaller than the critical Sobolev exponent $\frac{n+2}{n-2}$.
Giovanni Catino +2 more
openaire +5 more sources
Journal of Function Spaces, 2022 Focusing on the physical context of the thermal explosion model, this paper investigates a semilinear parabolic equation ut=Δu+a∫Ωupdx,x,t∈QT,n·∇u+guu=0,x,t∈ST,ux,0=u0x,x∈Ω with nonlocal sources under nonlinear heat-loss boundary conditions, where a,p>0 ...
Wenyuan Ma, Zhixuan Zhao, Baoqiang Yan
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Optimality Conditions for Semilinear Parabolic Equations with Controls in Leading Term [PDF]
, 2010 An optimal control problem for semilinear parabolic partial differential equations is considered. The control variable appears in the leading term of the equation.
Lou, Hongwei
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Error Estimates for Solutions of the Semilinear Parabolic Equation in Whole Space
Abstract and Applied Analysis, 2014 This paper is focused on the error estimates for solutions of the three-dimensional semilinear parabolic equation with initial data u0∈L2(ℝ3). Employing the energy methods and Fourier analysis technique, it is proved that the error between the solution ...
Xiaomei Hu
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