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Showing 1 to 7 of 7 for “"mild solution"”.
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Mild solutions of SPDE's driven by Poisson noise in infinite dimensions and their dependence on initial conditions
… in the existence and uniqueness of a so called mild solution. But, apart from the existence and uniqueness of mild solutions our main interest is directed towards their regularity w.r.t. the initial datum g. Under Lipschitz assumptions on the drift and the diffusion we show that for every …
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Exponential Decay for the Saint-Venant Principle
… manifolds, we also prove the existence of a mild solution for the associated traction boundary value problem in elastostatics.
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Stochastic hypodissipative hydrodynamic equations: well-posedness, stationary solutions and ergodicity
… case, we obtain the existence of martingale solutions and pathwise uniqueness of the solutions, which imply the existence of the probabilistically strong solution to this system by the Yamada–Watanabe Theorem.<br /> 2. We also study stationary solutions and ergodicity of both anisotropic …
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MODELLING AND NUMERICAL STUDY OF MARBLE SULPHATION IN CULTURALE HERITAGE: A RANDOM PDE-ODE SYSTEM
… diffusions, and which can be introduced as solutions of an It\^o's stochastic differential equations (SDE). For completeness, positiveness, boundedness, and stability for the Pearson SDE, as well as its numerical scheme, known as Lamperti Sloping Smooth Truncation, based on the well-known …
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Nonhomogeneous Initial Boundary Value Problems for Two-Dimensional Nonlinear Schrodinger Equations
… to derive an equivalent integral equation (whose solution is called mild solution) from the original equation by semi-group theory and then perform the Banach fixed-point argument. However, along the process, it is essential to select proper auxiliary function spaces and prepare all the …
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Template-Controlled Synthesis of Magnetic/Semiconducting Nanoparticles within Amphiphilic Core-Shell Cylindrical Polymer Brushes
… were successfully synthesized under mild solution conditions, as confirmed by various characterization techniques. Quantum confinement of the CdS nanoparticles was observed, indicated by the blue shift of the absorbance edge in UV/visible spectrum. The technique using a single …
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Fractional Diffusion in Gaussian Noisy Environment
… We prove the existence and uniqueness of the solutions and obtain some properties of the solutions. Chapter 3 studies the linear stochastic partial differential equation of fractional orders both in time and space variables. We prove the existence and uniqueness of the solution and calculate …