Search
Search Results
-
Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems
A unified framework for fourth-order semilinear problems with trilinear nonlinearity and general sources allows for quasi-best approximation with...
-
Solution Blow-Up for a Fractional Fourth-Order Equation of Moore–Gibson–Thompson Type with Nonlinearity Nonlocal in Time
AbstractWe reformulate the fourth-order equation of the Moore–Gibson–Thompson (MGT) type to a fractional semilinear fourth-order equation with...
-
Existence of Solutions to Nonlinear Fourth-Order Beam Equation
This paper studies the boundary value problem for a fourth-order difference equation with three quasidifferences. The new existence criterion of at...
-
Ground state solution for a weighted fourth-order Schrödinger equation with exponential growth nonlinearity
In this paper, we establish the existence of a ground state solution for a weighted fourth-order equation of Shrödinger type under boundary Dirichlet...
-
Normalized solutions for a fourth-order Schrödinger equation with a positive second-order dispersion coefficient
In this paper, we study normalized solutions to a fourth-order Schrödinger equation with a positive second-order dispersion coefficient in the mass...
-
A mixed element computing scheme for a semilinear fourth-order problem
A mixed finite element method is developed for a semilinear fourth-order elliptic boundary value problem. The existence and uniqueness of the...
-
The Problem of Determining the Coefficient Multiplying a Power-Law Gradient Nonlinearity in a Semilinear Wave Equation
AbstractWe consider a one-dimensional inverse problem of determining the coefficient multiplying a power-law gradient nonlinearity in a semilinear...
-
Numerical framework for the Caputo time-fractional diffusion equation with fourth order derivative in space
A finite difference scheme along with a fourth-order approximation is examined in this article for finding the solution of time-fractional diffusion...
-
A second-order finite difference method for the multi-term fourth-order integral–differential equations on graded meshes
A second-order difference method on graded meshes is proposed for the multi-term fourth-order evolution equation (FOEE). We handle the...
-
Nodal Multi-peak Standing Waves of Fourth-Order Schrödinger Equations with Mixed Dispersion
We consider the existence and concentration properties of standing waves for a fourth-order Schrödinger equation with mixed dispersion, which was...
-
Controllability results for stochastic coupled systems of fourth- and second-order parabolic equations
In this paper, we study some controllability and observability problems for stochastic systems coupling fourth- and second-order parabolic equations....
-
Removability of Isolated Singular Points for Fourth Order Elliptic Equations with Nonstandard Growth
In this paper, we investigate the removable problem of isolated singularities for fourth order elliptic equations with nonstandard growth. Based on...
-
Infinite Time Blow-Up of Solutions to a Fourth-Order Nonlinear Parabolic Equation with Logarithmic Nonlinearity Modeling Epitaxial Growth
This paper deals with a fourth-order nonlinear parabolic equation with logarithmic nonlinearity coming from the modeling of epitaxial growth. First,...
-
An implicit difference scheme for the fourth-order nonlinear non-local PIDEs with a weakly singular kernel
In this paper, an implicit difference scheme is constructed for the fourth-order nonlinear non-local partial integro-differential equations (PIDEs)...
-
On the maximum principle and high-order, delay-free integrators for the viscous Cahn–Hilliard equation
The stabilization approach has been known to permit large time-step sizes while maintaining stability. However, it may “slow down the convergence...
-
On the solvability of one boundary value problem for one class of higher-order semilinear hyperbolic systems
In this paper, we consider the boundary value problem for one class of higher-order semilinear hyperbolic systems. We prove the theorems on the...