Search Results - "Dimitrios Gazoulis"

A Relation of the Allen–Cahn equations and the Euler equations and applications of the equipartition by Gazoulis, Dimitrios

“…We will prove that solutions of the Allen–Cahn equations that satisfy the equipartition of the energy can be transformed into solutions of the Euler equations…”
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Entire Minimizers of Allen–Cahn Systems with Sub-Quadratic Potentials by Alikakos, Nicholas D., Gazoulis, Dimitrios, Zarnescu, Arghir

“…We study entire minimizers of the Allen–Cahn systems. The specific feature of our systems are potentials having a finite number of global minima, with…”
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Almost entire solutions of the Burgers equation by Nicholas D. Alikakos, Dimitrios Gazoulis

“…We consider Burgers equation on the whole x-t plane. We require the solution to be classical everywhere, except possibly over a closed set S of potential…”
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Eigenvalue Inequalities for Fully Nonlinear Elliptic Equations via the Alexandroff-Bekelman-Pucci Method by Gazoulis, Dimitrios

“…In this work we establish eigenvalue inequalities for elliptic differential operators either for Dirichlet or for Robin eigenvalue problems, by using the…”
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Applications of P-functions to Fully Nonlinear Elliptic equations: Gradient Estimates and Rigidity Results by Gazoulis, Dimitrios

“…We introduce the notion of $ P -$functions for fully nonlinear equations and establish a general criterion for obtaining such quantities for this class of…”
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On the $ \Gamma $-convergence of the Allen-Cahn functional with boundary conditions by Gazoulis, Dimitrios

“…We study minimizers of the Allen-Cahn system. We consider the $ \varepsilon $-energy functional with Dirichlet values and we establish the $ \Gamma $-limit…”
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A Relation of the Allen-Cahn equations and the Euler equations and applications of the Equipartition by Gazoulis, Dimitrios

“…We will prove that solutions of the Allen-Cahn equations that satisfy the equipartition can be transformed into solutions of the Euler equations with constant…”
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Gradient Bounds and Liouville theorems for Quasi-linear equations on compact Manifolds with nonnegative Ricci curvature by Gazoulis, Dimitrios, Zacharopoulos, George

“…In this work we establish a gradient bound and Liouville-type theorems for solutions to Quasi-linear elliptic equations on compact Riemannian Manifolds with…”
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On the Stability and Convergence of Physics Informed Neural Networks by Gazoulis, Dimitrios, Gkanis, Ioannis, Makridakis, Charalambos G

“…Physics Informed Neural Networks is a numerical method which uses neural networks to approximate solutions of partial differential equations. It has received a…”
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Entire minimizers of Allen-Cahn systems with sub-quadratic potentials by Alikakos, Nicholas D, Gazoulis, Dimitrios, Zarnescu, Arghir

“…We study entire minimizers of the Allen-Cahn systems. The specific feature of our systems are potentials having a finite number of global minima, with…”
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On Almost Entire Solutions Of The Burgers Equation by Alikakos, Nicholas, Gazoulis, Dimitrios

“…Solutions that satisfy classically the Burgers equation except, perhaps, on a closed set S of the plane of potential singularities whose Hausdorff 1-measure is…”
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