On the existence of solutions to the equation

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 … WebP 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 ...

On the existence and the asymptotic stability of solutions to the ...

WebThis article is published in Integral Equations and Operator Theory.The article was published on 2001-06-01. It has received 2 citation(s) till now. The article focuses on the topic(s): Coefficient matrix & Continuous linear operator. WebThis paper concerns the existence of steady solutions to the Navier-Stokes equations in a bounded domain. The condition of solenoidality for the velocity field imposes a necessary condition on the boundary data. For a certain class of symmetrical domains, the authors show that this necessary condition implies the existence of a solution to the problem. … florentina holzinger impulstanz https://grorion.com

On the existence of positive entire solutions of a semilinear elliptic ...

Web2 de jan. de 2016 · DOI: 10.1080/17476933.2015.1068762 Corpus ID: 124084293; Existence of solutions to Δλ-Laplace equations without the Ambrosetti–Rabinowitz condition @article{Anh2016ExistenceOS, title={Existence of solutions to $\Delta$$\lambda$-Laplace equations without the Ambrosetti–Rabinowitz condition}, … WebUnder assumptions – and , there exists at least one renormalized solution to problem in the sense that (i),, for a.e. . (ii) For all and , (iii) as . Theorem 4. Let and be two renormalized solutions of problem . Then, 3. Existence Result for -Data. Theorem 5. Assuming that – hold, , then the problem admits at least one renormalized solution ... great stone pavers llc

2.3: Existence and Uniqueness of Solutions of Nonlinear Equations ...

Category:1.2: Existence and Uniqueness of Solutions - Mathematics …

Tags:On the existence of solutions to the equation

On the existence of solutions to the equation

Existence and multiplicity of solutions for fractional $ p(x ...

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 ... Web26 de nov. de 2024 · It’s important to understand exactly what Theorem 1.2.1 says. (a) is an existence theorem. It guarantees that a solution exists on some open interval that contains x0, but provides no information on how to find the solution, or to determine the open interval on which it exists. Moreover, (a) provides no information on the number of solutions ...

On the existence of solutions to the equation

Did you know?

Web13 de mar. de 2016 · That is, I would like to know the (formal) references of, say, the Picard–Lindelöf Theorem or the Peano Existence Theorem for the vector-valued function case. My only interest is in the existence (and not in the uniqueness), and if I am correct, the Peano Existence Theorem for the vector-valued case would give me the answer. WebVariational techniques are applied to prove the existence of standing wave solutions for quasilinear Schrödinger equations containing strongly singular nonlinearities which …

Web18 de mai. de 2024 · We are concerned with the estimate, existence and nonexistence of positive solutions of the equation, in particular, the equation with Dirichlet boundary … Web12 de mai. de 2009 · Mathematical proofs are presented concerning the existence of solutions of the Maxwell equations with suitable boundary conditions. In particular it is …

Web1 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 ... Web9 de dez. de 2008 · Max-K. von Renesse, Michael Scheutzow. We provide sufficient conditions on the coefficients of a stochastic functional differential equation with …

Web29 de jan. de 2024 · Request PDF On the Existence, Decay and Blowup of Solutions for a Quasilinear Hyperbolic Equations Involving the Weighted p−Laplacian with Source Terms In this work, we study the global ...

Web1 de jan. de 2000 · Existence of solutions for the equations. January 2000; Communications in Partial Differential Equations 25(5-6) ... Le théorème principal donne … florentina foods canadaWeb26 de fev. de 2024 · In this paper, we consider the global existence of strong solutions to the three-dimensional Boussinesq equations on the smooth bounded domain Ω.Based on the blow-up criterion and uniform estimates, we prove that the strong solution exists globally in time if the initial \(L^{2}\)-norm of velocity and temperature are small.Moreover, … florentina arborose climbing roseWeb20 de fev. de 2024 · For incompressible Navier-Stokes equation for a non-Newtonian type, namely, in (1), the existence of weak solutions for was first obtained in [7, 8], which is unique for for any dimension (cf. [9]). great stone northfieldWebUnder suitable hypotheses we obtain various theorems concerning the existence of positive solutions of the equation $$\\Delta u{\\text{ }} - {\\text{ }}u{\\text{ }} + {\\text{ … florentilooooWeb10 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. florentine cookies cnyWebhas local existence of bounded curvature solutions to Einstein equations if the curvature is bounded initially. However, that does not imply existence in wave coordinates. We in fact show that one does not in general have local existence in H2 for Einstein equations in wave coordinates: Theorem 1.1. For any ">0, there is a domain of dependence Dand greatstone roadWeb30 de jun. de 2012 · Numerical solution of a system of two first order Volterra integro-differential equations arising in ultimate ruin theory has been discussed by [14]. Existence and Uniqueness of Solution of ... greatstone point lexington ky