On the existence of solutions to the equation
Web15 de out. de 2024 · Download PDF Abstract: We obtain a global existence result for the three-dimensional Navier-Stokes equations with a large class of data allowing growth at spatial infinity. Namely, we show the global existence of suitable weak solutions when the initial data belongs to the weighted space $\mathring M^{2,2}_{\mathcal C}$ introduced … Web27 de ago. de 2024 · Let y be any solution of Equation 2.3.12. Because of the initial condition y(0) = − 1 and the continuity of y, there’s an open interval I that contains x0 = 0 …
On the existence of solutions to the equation
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WebUnder suitable hypotheses we obtain various theorems concerning the existence of positive solutions of the equation $$\\Delta u{\\text{ }} - {\\text{ }}u{\\text{ }} + {\\text{ … Web3 de mai. de 2024 · Showalter [] has initiated the study of pseudo-parabolic equations, and subsequently, many authors have contributed to the various type of pseudo-parabolic equations.These equations explain the physical phenomena like unidirectional travel of long waves, aggregation of population, oozing of homogeneous fluids through cracked …
WebExistence of solution of system of equations. I have some doubt with the existence of solution of system of 3 linear equations. by the matrix A X = B. where A is 3 × 3 … Web10 de jan. de 2024 · Title: Obstructions to the existence of solutions of the self-dual Einstein-Maxwell-Higgs equations on a compact surface Authors: Luis Álvarez-Cónsul , …
Web1 de dez. de 2024 · Local existence of a solution if s ⩽ T. Rothe’s method is utilized to show the existence of a solution. First, the time interval [− s, 0] is discretized by a time step τ < min {1, s} defined by τ = s N where N is a positive integer. Next, we define T 0 ≔ ⌊ T s ⌋ s. We will show the existence of a solution on the time interval [0 ... Web10 de abr. de 2024 · We present some existence and uniqueness results for a class of functional integrodifferential evolution equations generated by the resolvent operator for which the semigroup is not necessarily compact. It is proved that the set of solutions is compact. Our approach is based on fixed-point theory. Finally, some examples are given …
Web10 de abr. de 2024 · Different from the previous ones which have recently appeared, we weaken the condition of $ M $ and obtain the existence and multiplicity of solutions via the symmetric mountain pass theorem and the theory of the fractional Sobolev space with variable exponents.
WebIn this paper we study the existence of positive solutions of semilinear elliptic equations. Various possible behaviors of nonlinearity are considered, and in each case nearly optimal multiplicity results are obtained. The results are also interpreted in terms of bifurcation diagrams. greater refuge church seguin txWeb22 de jul. de 2024 · ζ ∈ [0, b]. The FIE consists of many special types of FIEs, those are very useful in real-world problems of physics, biology, differential equations, etc.Here, our aim to examine the difficulty of the existence of the solutions of FIE using the techniques of MNC and Darbo’s fixed point theorem in [0, b].Many authors have taken out some successful … flintshack steakhouseWebOn existence of global solutions to the two-dimensional Navier-Stokes equations for a compressible viscous fluid Download PDF. Download PDF. Published: November ... flintshack menuWeb1 de dez. de 2024 · In this article, our purpose is to study the existence and uniqueness of a solution to a damped variable order fractional subdiffusion equation with time delay. Under weak assumptions on the data, we prove the uniqueness of a weak solution to the problem under consideration. The method of semi-discretization is extended to this kind … flint shack roystonWebP cannot blow-up in finite backwards time. Since PBRBTP is by definition a positive semi-definite form, we have that − ˙P ≤ ATP + PA + Q which implies that in backwards time, the growth of P cannot exceed that of the linear equation − ˙P = ATP + PA + Q. Since the latter cannot blow-up in finite time, the same is true for the original ... flintshack resturant roystonWeb1 de jan. de 2024 · Download Citation On the Existence and Uniqueness of a Positive Solution to a Boundary Value Problem for One Nonlinear Functional - Differential Equation of Even Order In this article, we ... flint shadowmoreWebExistence of positive solutions for the nonlinear fractional differential equation D(s)u(x) = f(x, u(x)), 0 < s < 1, has been studied (S. Zhang, J. Math. Anal. flintshack royston menu