Results 31 to 40 of about 102,040 (246)
Metastability for parabolic equations with drift: part II. The quasilinear case
, 2016 This is the second part of our series of papers on metastability results for parabolic equations with drift. The aim is to present a self-contained study, using partial differential equations methods, of the metastability properties of quasi-linear ...
Ishii, Hitoshi +1 more
core +1 more source
Feynman-Kac representation of fully nonlinear PDEs and applications [PDF]
, 2014 The classical Feynman-Kac formula states the connection between linear parabolic partial differential equations (PDEs), like the heat equation, and expectation of stochastic processes driven by Brownian motion.
Pham, Huyen
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Bounded Solutions to Nonlinear Parabolic Equations [PDF]
ISRN Mathematical Analysis, 2011 We deal with existence results for nonlinear parabolic equations with general quadratic gradient terms and with absorption term which depend on the solution. We note that no boundedness is assumed on the data of the problem. We prove an existence result of distributional solution via test-function method.
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Optimal Control Problems of a Class of Nonlinear Degenerate Parabolic Equations
MathematicsThe optimal control problems of degenerate parabolic equations have many applications in economics, physics, climatology, and so on. Motivated by the applications, we consider the optimal control problems of a class of nonlinear degenerate parabolic ...
Yang Na +3 more
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Positivity of solutions to the Cauchy problem for linear and semilinear biharmonic heat equations
Advances in Nonlinear Analysis, 2020 This paper is concerned with the positivity of solutions to the Cauchy problem for linear and nonlinear parabolic equations with the biharmonic operator as fourth order elliptic principal part. Generally, Cauchy problems for parabolic equations of fourth
Grunau Hans-Christoph +2 more
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Nonlinear Parabolic Equations with Measure Data
Journal of Functional Analysis, 1997 Consider the parabolic problem \[ u_t -\mathop{div} a(x,t,u,Du) = \mu \quad\text{in } Q,\qquad u = 0 \quad \text{on } \mathcal PQ, \] where \(a(x,t,z,\xi)\) behaves like \(|\xi|^{p-2}\xi\), \(Q\) is a space-time cylinder with parabolic boundary \(\mathcal PQ\), and \(\mu\) is a measure on \(Q\).
BOCCARDO, Lucio +3 more
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Global existence of mild solutions for impulsive $ \psi- $Caputo fractional parabolic equations
Electronic Research ArchiveThis paper investigated a class of nonlinear $ \psi- $Caputo fractional parabolic equations with impulsive. We reformulated the fractional parabolic equations into abstract evolution equations.
Yonghong Ding, Yongxiang Li
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Scaling in Nonlinear Parabolic Equations
Journal of Mathematical Analysis and Applications, 1999 The Cauchy problem for parabolic equations with quadratic nonlinearity is studied. We investigate the existence of global-in-time solutions and their large-time behavior assuming some scaling property of the equation as well as of the norm of the Banach space in which the solutions are constructed.
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Parabolic equations with nonlinear singularities [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pedro J. Martinez Aparicio +1 more
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Melt Grafting of Geometry‐Tailored Voltage Stabilizers for High‐Performance Polypropylene Insulation
Advanced Functional Materials, EarlyView.A scalable one‐step melt grafting strategy is developed to enhance the dielectric properties of isotactic polypropylene by covalently incorporating thermally stable aromatic voltage stabilizers. This solvent‐free approach improves volume resistivity and DC breakdown strength through deep trap formation and charge localization, offering a sustainable ...
Nazirul Mubin bin Normansah +9 more
wiley +1 more source