Existence Results to a Class of Nonlinear Parabolic Systems Involving Potential and Gradient Terms
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DOI: 10.1007/s00009-020-01542-2
Abstract: In this paper, we investigate the existence of solutions to a nonlinear parabolic system, which couples a non-homogeneous reaction-diffusion-type equation and a non-homogeneous viscous Hamilton–Jacobi one. The initial data and right-hand sides satisfy suitable integrability… read more here.
Keywords: parabolic systems; results class; systems involving; class nonlinear ... See more keywords
Existence results for a class of nonlinear parabolic equations of generalized porous medium type with measure data
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DOI: 10.1007/s11587-019-00480-w
Abstract: In this paper, we study the existence of a special type of distributional solutions, the so-called “renormalized solutions” for some parabolic problems with unbounded term and general measure data. We obtain the a priori estimates… read more here.
Keywords: results class; existence; measure data; existence results ... See more keywords
Existence results for a class of nonlocal problems involving the -Laplace operator
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DOI: 10.1080/17476933.2017.1282950
Abstract: Abstract This paper is concerned with the existence of solutions to a class of -Kirchhoff-type equations with Dirichlet boundary condition of the form: By means of variational methods and the theory of the variable exponent… read more here.
Keywords: results class; class; class nonlocal; problems involving ... See more keywords
Some Existence and Uniqueness Results for a Class of Fractional Stochastic Differential Equations
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DOI: 10.3390/sym14112336
Abstract: Many techniques have been recently used by various researchers to solve some types of symmetrical fractional differential equations. In this article, we show the existence and uniqueness to the solution of ς-Caputo stochastic fractional differential… read more here.
Keywords: existence uniqueness; results class; differential equations; uniqueness results ... See more keywords